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All Textbook Solutions for PREALGEBRA
Solve Coin Word Problems In the following exercises, solve the coin word problems. Mario invested $475 in $45 and $25 stock shares. The number of $25 shares was 5 less than three times the number of $45 shares. How many of each type of share did he buy?75. Parent Volunteer As the treasurer of her daughters Girl Scout troop, Laney collected money for some girls and adults to go to a 3-day camp. Each girl paid S75 and each adult paid $30. The total amount of money collected for camp was $765. If the number of girlsis three times the number of adults, how many girls and how many adults paid for camp?Parent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the end of the school year. She didn’t remember how many boys had paid the $24 full-year registration fee and how many had paid a $16 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $400 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year fee?Suppose you have 6 quarters, 9 dimes, and 4 pennies. Explain how you find the total value of all the coins.Do you find it helpful to use a table when solving coin problems? Why or why not?In the table used to solve coin problems, one column is labeled number and another column is labeled “value”. What is the difference between the number and the value?What similarities and differences did you see between solving the coin problems and the ticket and stamp problems?TRY IT ::9.31 An angle measures 25°. Find its: (a) supplement (b) complement.TRY IT ::9.32 An angle measures 77°. Find its: (a) supplement (b) complement.TRY IT ::9.33 Two angles are supplementary. The larger angle is 100° more than the smaller angle. Find the measures of both angles.TRY IT ::9.34 Two angles are complementary. The larger angle is 40° more than the smaller angle. Find the measures of both angles.TRY IT ::9.35 The measures of two angles of a triangle are 31° and 128°. Find the measure of the third angle.TRY IT ::9.36 A triangle has angles of 49° and 75°. Find the measure of the third angle.TRY IT:: 9.37 One angle of a right triangle measures 56°. What is the measure of the other angle?TRY IT ::9.38 One angle of a right triangle measures 45°. What is the measure of the other angle?TRY IT ::9.39 The measure of one angle of a right triangle is 50° more than the measure of the smallest angle. Find the measures of all three angles.TRY IT ::9.40 The measure of one angle of a right triangle is 30° more than the measure of the smallest angle. Find the measures of all three angles.TRY IT ::9.41 ABC is similar to XYZ. Find a .TRY IT:: 9.42 ABC is similar to XYZ . Find y.TRY IT ::9.43 Use the Pythagorean Theorem to find the length of the hypotenuse.TRY IT:: 9.44 Use the Pythagorean Theorem to find the length of the hypotenuse.TRY IT ::9.45 Use the Pythagorean Theorem to find the length of the leg.TRY IT ::9.46 Use the Pythagorean Theorem to find the length of the leg.TRY IT ::9.47 John puts the base of a 13-ft ladder 5 feet from the wall of his house. How far up the wall does the ladder reach?TRY IT ::9.48 Randy wants to attach a 17-ft string of lights to the top of the 15-ft mast of his sailboat. How far from the base of the mast should he attach the end of the light string?Use the Properties of Angles In the following exercises, find (a) the supplement and (b) the complement of the given angle. 53°Use the Properties of Angles In the following exercises, find (a) the supplement and (b) the complement of the given angle. 16°Use the Properties of Angles In the following exercises, find (a) the supplement and (b) the complement of the given angle. 29°Use the Properties of Angles In the following exercises, find (a) the supplement and (b) the complement of the given angle. 74°In the following exercises, use the properties of angles to solve. Find the supplement of a 135° angle.In the following exercises, use the properties of angles to solve. Find the complement of a 38° angle.In the following exercises, use the properties of angles to solve. Find the complement of a 27.5 ° angle.In the following exercises, use the properties of angle to solve. 88. Find the supplement of a 109.5° angle.In the following exercises, use the properties of angles to solve. Two angles are supplementary. The larger angle is 56° more than the smaller angle. Find the measures of both angles.In the following exercises, use the properties of angles to solve. Two angles are supplementary. The smaller angle is 36° less than the larger angle. Find the measures of both angles.In the following exercises, use the properties of angles to solve. Two angles are complementary. The smaller angle is 34° less than the larger angle. Find the measures of both angles.In the following exercises, use the properties of angles to solve. Two angles are complementary. The larger angle is 52° more than the smaller angle. Find the measures of both angles.Use the Properties of Triangles In the following exercises, solve using properties of triangles. The measures of two angles of a triangle are 26° and 98°. Find the measure of the third angle.Use the Properties of Triangles In the following exercises, solve using properties of triangles. The measures of two angles of a triangle are 61° and 84°. Find the measure of the third angle.Use the Properties of Triangles In the following exercises, solve using properties of triangles. The measures of two angles of a triangle are 105° and 31°. Find the measure of the third angle.Use the Properties of Triangles In the following exercises, solve using properties of triangles. The measures of two angles of a triangle are 47° and 72°. Find the measure of the third angle.Use the Properties of Triangles In the following exercises, solve using properties of triangles. One angle of a right triangle measures 33°. What is the measure of the other angle?Use the Properties of Triangles In the following exercises, solve using properties of triangles. One angle of a right triangle measures 51°. What is the measure of the other angle?Use the Properties of Triangles In the following exercises, solve using properties of triangles. One angle of a right triangle measures 22.5°. What is the measure of the other angle?Use the Properties of Triangles In the following exercises, solve using properties of triangles. One angle of a right triangle measures 36.5°. What is the measure of the other angle?Use the Properties of Triangles In the following exercises, solve using properties of triangles. The two smaller angles of a right triangle have equal measures. Find the measures of all three angles.Use the Properties of Triangles In the following exercises, solve using properties of triangles. The measure of the smallest angle of a right triangle is 20° less than the measure of the other small angle. Find the measures of all three angles.Use the Properties of Triangles In the following exercises, solve using properties of triangles. The angles in a triangle are such that the measure of one angle is twice the measure of the smallest angle, while the measure of the third angle is three times the measure of the smallest angle. Find the measures of all three angles.Use the Properties of Triangles In the following exercises, solve using properties of triangles. The angles in a triangle are such that the measure of one angle is 20° more than the measure of the smallest angle, while the measure of the third angle is three times the measure of the smallest angle. Find the measures of all three angles.?Find the Length of the Missing Side In the following exercises, ABC is similar to XYZ. Find the length of the indicated side. side bFind the Length of the Missing Side In the following exercises, ABC is similar to XYZ. Find the length of the indicated side. side xWOn a map, San Francisco, Las Vegas, and Los Angeles form a triangle whose sides the shown in the figure below. The actual distance from Los Angeles to Las Vegas is 270 miles. Find the distance from Los Angeles to San Francisco.On a map, San Francisco, Las Vegas, and Los Angeles form a triangle whose sides the shown in the figure below. The actual distance from Los Angeles to Las Vegas is 270 miles. Find the distance from San Francisco to Las Vegas.Use the Pythagorean Theorem In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse.Use the Pythagorean Theorem In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse.Use the Pythagorean Theorem In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse.Use the Pythagorean Theorem In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse.Find the Length of the Missing Side In the following exercises use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary. 113.Find the Length of the Missing Side In the following exercises use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.Find the Length of the Missing Side In the following exercises use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.Find the Length of the Missing Side In the following exercises use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.Find the Length of the Missing Side In the following exercises use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.Find the Length of the Missing Side In the following exercises use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.Find the Length of the Missing Side In the following exercises use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.Find the Length of the Missing Side In the following exercises use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.In the following exercises, solve. Approximate to the nearest tenth, if necessary. A 13-foot string of lights will be attached to the top of a 12-foot pole for a holiday display. How far from the base of the pole should the end of the string of lights be anchored?In the following exercises, solve. Approximate to the nearest tenth, if necessary. 122. Pam wants to put a banner across her garage door to congratulate her son on his college graduation. The garage door is 12 feet high and 16 feet wide. How long should the banner be to fit the garage door?In the following exercises, solve. Approximate to the nearest tenth, if necessary. Chi is planning to put a path of paving stones through her flower garden. The flower garden is a square with sides of 10 feet. What will the length of the path be?In the following exercises, solve. Approximate to the nearest tenth, if necessary. Brian borrowed a 20-foot extension ladder to paint his house. If he sets the base of the ladder 6 feet from the house, how far up will the top of the ladder reach?Building a scale model Joe wants to build a doll house for his daughter. He wants the doll house to look just like his house. His house is 30 feet wide and 35 feet tall at the highest point of the roof. If the dollhouse will be 2.5 feet wide, how tall will its highest point be?Measurement A city engineer plans to build a footbridge across a lake from point X to point Y, as shown in the picture below. To find the length of the footbridge, she draws a right triangle XYZ, with right angle at X. She measures the distance from X to Z, 800 feet, and from Y to Z, 1,000 feet. How long will the bridge be?Write three of the properties of triangles from this section and then explain each in your own words.Explain how the figure below illustrates the Pythagorean Theorem for a triangle with legs of length 3 and 4TRYIT:: 9.49 Determine whether you would use linear, square, or cubic measure for each item. (a) amount of paint in a can (b) height of a tree (c) floor of your bedroom (d) diameter of bike wheel (e) size of a piece of sod (f) amount of water in a swimming poolTRY IT: : 950 Determine whether you would use linear, square, or cubic measure for each item. (a) volume of a packing box (b) size of patio (C) amount of medicine in a syringe (d) length of a piece of yarn (e) size of housing lot (f) height of a flagpoleTRY IT : : 9.51 Find the (a) perimeter and (b) area of the figure:TRY IT : : 9.52 Find the (a) perimeter and (b) area of the figure:TRY IT: : 9.53 The length of a rectangle is 120 yards and the width is 50 yards. Find (a) the perimeter and (b) the area.TRY IT : : 9.54 The length of a rectangle is 62 feet and the width is 48 feet. Find (a) the perimeter and (b) the area.TRY IT : : 9.55 Find the length of a rectangle with a perimeter of 80 inches and width of 25 inches.TRY IT : : 9.56 Find the length of a rectangle with a perimeter of 30 yards and width of 6 yards.TRY IT :: 9.57 The width of a rectangle is seven meters less than the length. The perimeter is 58 meters. Find the length and width.TRY IT : : 9. 58 The length of a rectangle is eight feet more then the width. The perimeter is 60 feet. Find the length and width.TRY IT:: 9.59 The length of a rectangle is eight more than twice the width. The perimeter is 64 feet. Find the length and width.TRY IT :: 9.60 The width of a rectangle is six less than twice the length. The perimeter is 18 centimeters. Find the length and width.TRY IT: : 9.61 The area of a rectangle is 598 square feet. The length is 23 feet. What is the width?TRY IT: : 962 The width of a rectangle is 21 meters. The area is 609 square meters. What is the length?TRY IT : : 963 The perimeter of a rectangular swimming pool is 200 feet. The length is 40 feet more then the width. Find the length and width.TRY IT:: 9,64 The length of a rectangular garden ès 30 yards more than the width. The perimeter is 300 yards. Find the length and width.TRY IT: : 9.65 Find the area of a triangle with base 13 inches and height 2 inches.TRY IT:: 9.66 Find the area of a triangle with base 14 inches and height 7 inches.TRY IT: : 967 The perimeter of a triangular garden is 24 feet. The lengths of two sides are 18 feet and 22 feet. How long is the third side?TRY IT : : 9.68 The lengths of two sides of a triangular window are 7 feet and 5 feet. The perimeter is 18 feet. How long is the third side?TRY IT: : 9.69 The area of a triangular painting is 126 square inches. The base is 18 inches. What is the height?TRY IT: : 9.70 A triangular tent door has an area of 15 square feet. The height is 5 feet. What is the base?TRY IT: : 9.71 Find the length of each side of an equilateral triangle with perimeter 39 inches.TRY IT: : 9.72 Find the length of each side of an equilateral triangle with perimeter 51 centimeters.TRY IT : : 973 A backyard deck is in the shape of an isosceles triangle with a base of ) feet. The parameter of the deck is 48 feet. How long is each of the equal sides of the deck?WTRY IT : : 9.74 A boat’s sail is an isosceles triangle with base of 8 meters. The perimeter is 22 meters. How long is each of the equal sides of the sail?TRY IT: : 9.75 The height of a trapezoid is 14 yards and the bases are 7 and 16 yards. What is the area?TRY IT : : 9.76 The height of a trapezoid is 18 centimeters and the bases are 17 and 8 centimeters. What is the area?TRY IT: : 9.77 The height of a trapezoid is 7 centimeters and the bases are 4.6 and 7.4 centimeters. What is the area?TRY IT: : 9.78 The height of a trapezoid is 9 meters and the bases are 6.2 and 7.8 meters. What is the area?TRY IT: : 979 un wants to sod his lawn, which is shaped like a trapezoid. The bases are 10.8 yards and 6.7 yards, and the height is 4.6 yards. How many square yards of sod does he need?TRYIT:: 980 Kira wants cover his patio with concrete payers. If the patio is shaped like a trapezoid whose bases are 18 feet and 14 feet and whose height is 15 feet how many square feet of payers will he need?Understand Linear, Square, and Cubic Measure In the following exercises, determine whether you would measure each item using linear. square, or cubic units. 129. amount of water in a fish tankUnderstand Linear, Square, and Cubic Measure In the following exercises, determine whether you would measure each item using linear. square, or cubic units. 130. length of dental flossUnderstand Linear, Square, and Cubic Measure In the following exercises, determine whether you would measure each item using linear. square, or cubic units. 131. living area of an apartmentUnderstand Linear, Square,and Cubic Measure In the following exercises, determine whether you would measure each item using linear. square, or cubic units. 132. floor space of a bathroom tileUnderstand Linear, Square,and Cubic Measure In the following exercises, determine whether you would measure each item using linear. square, or cubic units. 133. height of a doorwayUnderstand Linear, Square,and Cubic Measure In the following exercises, determine whether you would measure each item using linear. square, or cubic units. 134. capacity of a truck trailerIn the following exercises. find the© perimeter and(& area of each figure. Assume each side of the square isI cm. .In the following exercises. find the© perimeter and(& area of each figure. Assume each side of the square isI cm.In the following exercises. find the© perimeter and(& area of each figure. Assume each side of the square isI cm.In the following exercises. find the© perimeter and(& area of each figure. Assume each side of the square isI cm.In the following exercises. Find(a) the perimeter and (b) area of each figure. Assume each side of the square isI cm.In the following exercises. find the (a) perimeter and (B) area of each figure. Assume each side of the square isI cm.Use the Properties of Rectangles In the following exercises,find the ® perimeter arid® areaof each rectangle. 141. The length of a rectangle is 85 feet and the width is 45 feet.Use the Properties of Rectangles In the following exercises,find the ® perimeter arid® areaof each rectangle. 142. The length of a rectangle is 26 inches and the width is 58 inches.Use the Properties of Rectangles In the following exercises,find the ® perimeter arid® areaof each rectangle. 143. A rectangular room is 15 feet wide by 14 feet long.Use the Properties of Rectangles In the following exercises,find the ® perimeter arid® areaof each rectangle. 144. A driveway is in the shape of a rectangle feet wide by 35 feet long.In the following exercises, solve. 145. Find the length of a rectangle with perimeter 124 inches and width 38 inches.In the following exercises, solve. 146. Find the length of a rectangle with perimeter 20.2 yards and width of 7.8 yards.In the following exercises, solve. 147. Find the width of a rectangle with perimeter 92 meters and length 19 meters.In the following exercises, solve. 148. Find the width of a rectangle with perimeter 16.2 meters and length 3.2 meters.In the following exercises, solve. 149. The area of a rectangle is 414 square meters. The length is 18 meters. What is the width?In the following exercises, solve. 150. The area of a rectangle is 782 square centimeters. The width is 17 centimeters. What is the length?In the following exercises, solve. 151. The length of a rectangle is 9 inches more than the width. The perimeter is 46 inches. Find the length and the width.In the following exercises, solve. 152. The width of a rectangle is 8 inches more than the length. The perimeter is 52 inches. Find the length and the width.In the following exercises, solve. 153. The perimeter of a rectangle is 58 meters. The width of the rectangle is 5 meters less than the length. Find the length and the width of the rectangle.In the following exercises, solve. 154. The perimeter of a rectangle is 62 feet. The width is 7 feet less than the length. Find the length and the width.In the following exercises, solve. 155. The width of the rectangle is 0.7 meters less than the length. The perimeter of a rectangle is 52.6 meters. Find the dimensions of the rectangle.In the following exercises, solve. 156. The length of the rectangle is 1.1 meters less than the width. The perimeter of a rectangle is 49.4 meters. Find the dimensions of the rectangle.In the following exercises, solve. 157. The perimeter of a rectangle of 150 feet. The length of the rectangle is twice the width. Find the length and width of the rectangle.In the following exercises, solve . 158. The length of a rectangle is three times the width. The perimeter is 72 feet. Find the length and width of the rectangle.In the following exercises, solve . 159. The length of a rectangle is 3 meters less than twice the width. The perimeter is 36 meters. Find the length and width.In the following exercises, solve . 160. The length of a rectangle is 5 inches more than twice the width. The perimeter is 34 inches. Find the length and width.In the following exercises, solve . 161. The width of a rectangular window is 24 inches. The area is 624 square inches. What is the length?In the following exercises, solve. 162. The length of a rectangular poster is 28 inches. The area is 1316 square inches. What is the width?In the following exercises, solve. 163. The area of a rectangular roof is 2310 square meters. The length is 42 meters. What is the width?In the following exercises, solve. 164. The area of a rectangular tarp is 132 square feet. The width is 12 feet. What is the length?In the following exercises, solve. 165. The perimeter of a rectangular courtyard is I (1) feet. The length is 10 feet more than the width. Find the length and the width.In the following exercises, solve. 166. The perimeter of a rectangular painting is 306 centimeters. The length is 17 centimeters more than the width. Find the length and the width.In the following exercises, solve. 167. The width of a rectangular window is 40 inches less than the height. The perimeter of the doorway is 224 inches. Find the length and the width.In the following exercises, solve. 168. The width of a rectangular playground is 7 meters less than the length. The perimeter of the playground is 46 meters. Find the length and the width.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 169. Find the area of a triangle with base 12 inches and height 5 inches.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 170. Find the area of a triangle with base 45 centimeters and height 30 centimeters.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 171. Find the area of a triangle with base 8.3 meters and height 6.1 meters.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 172. Find the area of a triangle with base 24.2 feet and height 20.5 feet.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 173. A triangular flag has base of I foot and height of 1.5 feet. What is its area?Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 174. A triangular window has base of 8 feet and height of 6 feet. What is its area?Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 175. If a triangle has sides of 6 feet and 9 feet and the perimeter is 23 feet. how long is the third side?Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 176. If a triangle has sides of 14 centimeters and 18 centimeters and the perimeter is 49 centimeters, how long is the third side?Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 177. What is the base of a triangle with an area of 207 square inches and height of 18 inches?Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 178. What is the height of a triangle with an area of 893 square inches and base of 38 inches?Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 179. The perimeter of a triangular reflecting pool is 36 yards. The lengths of two sides are 10 yards and 15 yards. How long is the third side?Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 180. A triangular courtyard has perimeter of 120 meters. The lengths of two sides are 30 meters and 50 meters. How long is the third side?Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 181. An isosceles triangle has a base of 20 centimeters. If the perimeter is 76 centimeters, find the length of each of the other sides.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 182. An isosceles triangle has a base of 25 inches. If the perimeter is 95 inches, find the length of each of the other sides.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 183. Find the length of each side of an equilateral triangle with a perimeter of 51 yards.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 184. Find the length of each side of an equilateral triangle with a perimeter of 54 meters.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 185. The perimeter of an equilateral triangle is 38 meters. Find the length of each side.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 186. The perimeter of an equilateral triangle is 42 miles. Find the length of each side.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 187. The perimeter of an isosceles triangle is 42 feet. The length of the shortest side is 12 feet. Find the length of the other two sides.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 188. The perimeter of an isosceles triangle is 83 inches. The length of the shortest side is 24 inches. Find the length of the other two sides.Use the Properties of Triangles In the following exercises, solve using the properties of triangles . 189. A dish is in the shape of an equilateral triangle. Each side is 8 inches long. Find the perimeter.Use the Properties of Triangles In the following exercises, solve using the properties of triangles . 190. A floor tile is in the shape of an equilateral triangle. Each side is 1.5 feet long. Find the perimeter.Use the Properties of Triangles In the following exercises, solve using the properties of triangles . 191. A road sign in the shape of an isosceles triangle has a base of 36 inches. If the perimeter is 91 inches, find the length of each of the other sides.Use the Properties of Triangles In the following exercises, solve using the properties of triangles . 192. A scarf in the shape of an isosceles triangle has a base of 0.75 meters. If the perimeter is 2 meters, find the length of each of the other sides.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 193. The perimeter of a triangle is 39 feet. One side of the triangle is 1 foot longer than the second side. The third side is 2 feet longer than the second side. Find the length of each side.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 194. The perimeter of a triangle is 35 feet. One side of the triangle is 5 feet longer than the second side. The third side is 3 feet longer than the second side. Find the length of each side.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 195. One side of a triangle is twice the smallest side. The third side is 5 feet more than the shortest side. The perimeter is 17 feet. Find the lengths of all three sides.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 196. One side of a triangle is three times the smallest side. The third side is 3 feet more than the shortest side. The perimeter is 13 feet. Find the lengths of all three sides.Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 197. The height of a trapezoid is 1 2 feet and the bases are 9 and 15 feet. What is the area?Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 198. The height of a trapezoid is 24 yards and the bases are 18 and 30 yards. What is the area?Use the Properties of Triangles In the following exercises, solve using the properties of triangles. 199. Find the area of a trapezoid with a height of 51 meters and bases of 43 and 67 meters.Use the Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. 200. Find the area of a trapezoid with a height of 62 inches and bases of 58 and 75 inches.Use the Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. 201. The height of a trapezoid is 15 centimeters and the bases are 12.5 and 18.3 centimeters. What is the area?Use the Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. 202. The height of a trapezoid is 48 feet and the bases are 38.6 and 0.2 feet. What is the area?Use the Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. 203. Find the area of a trapezoid with a height of 4.2 meters and bases of 8.1 and 5.5 meters.Use the Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. 204. Find the area of a trapezoid with a height of 32.5 centimeters and bases of 54.6 and 41.4 centimeters.Use the Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. 205. Laurel is making a banner shaped like a trapezoid. The height of the banner is 3 feet and the bases are 4 and 5 feet. What is the area of the banner?Use the Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. 206. Niko wants to tile the floor of his bathroom. The floor is shaped like a trapezoid with width 5 feet and lengths 5 feet and 8 feet. What is the area of the floor?Use the Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. 207. Theresa needs a new top for her kitchen counter. The counter is shaped like a trapezoid with width 18.5 inches and lengths 62 and 50 inches. What is the area of the counter?Use the Properties of Trapezoids In the following exercises, solve using the properties of trapezoids. 208. Elena is knitting a scarf. The scarf will be shaped like a trapezoid with width 8 inches and lengths 48.2 inches and 56.2 inches. What is the area of the scarf?Fence Jose just removed the children’s playset from his back yard to make room for a rectangular garden. He wants to put a fence around the garden to keep out the dog. He has a 50 foot roll of fence in his garage that he plans to use. To fit in the backyard, the width of the garden must be 10 feet. How long can he make the other side if he wants to use the entire roll of fence?. Gardening Lupita wants to fence in her tomato garden. The garden is rectangular and the length is twice the width. It will take 48 feet of fencing to enclose the garden. Find the length and width of her garden.Fence Christa wants to put a fence around her triangular flowerbed. The sides of the flowerbed are 6 feet, 8 feet, and 10 feet. The fence costs $10 per foot. How much will it cost for Christa to fence in her flowerbed?Painting Caleb wants to paint one wall of his attic. The wall is shaped like a trapezoid with height 8 feet and bases 20 feet and 12 feet. The cost of the painting one square foot of wall is about $005. About how much will it cost for Caleb to paint the attic wall?If you need to put tile on your kitchen floor, do you need to know the perimeter or the area of the kitchen? Explain your reasoning.If you need to put a fence around your backyard. do you need to know the perimeter or the area of the backyard? Explain your reasoning.Look at the two figures. (a) Which figure looks like it has the larger area? Which looks like it has the larger perimeter? (b) Now calculate the area and perimeter of each figure. Which has the larger area? Which has the larger perimeter?The length of a rectangle is 5 feet more than the width. The area is 50 square feet. Find the length and the width. (a) Write the equation you would use to solve the problem. (b) Why can’t you solve this equation with the methods you learned in the previous chapter?TRY IT : : 9.81 A circular mirror has radius of 5 inches. Find the (a) circumference and area of the mirror.TRY IT : : 9.82 A circular spa has radius of 4.5 feet. Find the (a) circumference and (b) area of the spa.TRY IT : : 9.83 Find the circumference of a circular fire pit whose diameter is 5.5 feet.TRY IT:: 9.84 If the diameter of a circular trampoline is 12 feet, what is its circumference?TRY IT : : 9.85 Find the diameter of a circle with circumference of 94.2 centimeters.TRY IT :: 9.81 Find the diameter of a circle with circumference of 345.4 feet.TRY IT : : 9.87 Find the area of each shaded region:TRY IT : : 9.88 Find the area of each shaded region:TRY IT : : 9.89 Find the area of each shaded region.TRY IT : : 9.90 Find the area of each shaded region.TRYIT:: 9.91 Find the area:TRY IT: : 9.92 Find the area:Use the Properties of Circles In the following exercises, solve using the properties of circles 217. The lid of a paint bucket is a circle with radius 7 inches. Find the (a) circumference and (b) area of the lid.Use the Properties of Circles In the following exercises, solve using the properties of circles 218. An extra large pizza is a circle with radius 8 inches. Find the (a) circumference and (b) area of the pizza.Use the Properties of Circles In the following exercises, solve using the properties of circles 219. A farm sprinkler spreads water in a circle with radius of 8.5 feet. Find the (a) circumference and (b) area of the watered circle.Use the Properties of Circles In the following exercises, solve using the properties of circles 220. A circular rug has radius of 3.5 feet. Find the (a) circumference and (b) area of the rug.Use the Properties of Circles In the following exercises, solve using the properties of circles 221. A reflecting pool is in the shape of a circle with diameter of 20 feet. What is the circumference of the pool?Use the Properties of Circles In the following exercises, solve using the properties of circles. 222. A turntable is a circle with diameter of 10 inches. What is the circumference of the turntable?Use the Properties of Circles In the following exercises, solve using the properties of circles. 223. A circular saw has a diameter of 12 inches. What is the circumference of the saw?Use the Properties of Circles In the following exercises, solve using the properties of circles. 224. A round coin has a diameter of 3 centimeters. What is the circumference of the coin?Use the Properties of Circles In the following exercises, solve using the properties of circles. 225. A barbecue grill is a circle with a diameter of 2.2 feet. What is the circumference of the grill?Use the Properties of Circles In the following exercises, solve using the properties of circles. 226. The top of a pie tin is a circle with a diameter of 9.5 inches. What is the circumference of the top?Use the Properties of Circles In the following exercises, solve using the properties of circles. 227. A circle has a circumference of 163.28 inches. Find the diameter.Use the Properties of Circles In the following exercises, solve using the properties of circles. 228. A circle has a circumference of 59.66 feet. Find the diameter.Use the Properties of Circles In the following exercises, solve using the properties of circles. 229. A circle has a circumference of 17.27 meters. Find the diameter.Use the Properties of Circles In the following exercises, solve using the properties of circles. 230. A circle has a circumference of &.O7 centimeters. Find the diameter.In the following exercises, find the radius of the circle with given circumference. 231. A circle has a circumference of 150.72 feet.In the following exercises, find the radius of the circle with given circumference. 232. A circle has a circumference of 251.2 centimeters.In the following exercises, find the radius of the circle with given circumference. 2.33. A circle has a circumference of 40.82 miles.In the following exercises, find the radius of the circle with given circumference. 234. A circle has a circumference of 78.5 inches.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.Find the Area of Irregular Figures In the following exercises, find the area of the irregular figure. Round your answers to the nearest hundredth.In the following exercises, solve. A city park covers one block plus parts of four more blocks, as shown. The block is a square with sides 250 feet long, and the triangles are isosceles right triangles. Find the area of the park.In the following exercises, solve. A gift box will be made from a rectangular piece of cardboard measuring 12 inches by 20 inches, with squares cut out of the corners of the sides, as shown. The sides of the squares are 3 inches. Find the area of the cardboard after the corners are cut out.In the following exercises, solve. Perry needs to put in a new lawn. His lot is a rectangle with a length of 120 feet and a width of 100 feet. The house is rectangular and measures 50 feet by 40 feet. His driveway is rectangular and measures 20 feet by 30 feet. as shown. Find the area of Perry’s lawn.In the following exercises, solve. Denise is planning to put a deck in her back yard. The deck will be a 20-ft by 12-ti rectangle with a semicircle of diameter 6 feet. as shown below. Find the area of the deck.Area of a Tabletop Yuki bought a drop-leaf kitchen table. The rectangular part of the table is a 1-ft by 3-ft rectangle with a semicircle at each end. as shown. (a) Find the area of the table with one leaf up. (b) Find the area of the table with both leaves up.Painting Leora wants to paint the nursery in her house. The nursery is an 8-ft by 10-ft rectangle, and the ceiling is 8 feet tall. There is a 3-ft by 6.5-ft door on one wall, a 3-ft by 6.5-ft closet door on another wall, and one 4-ft by 3.5-ft window on the third wall. The fourth wall has no doors or windows. If she will only paint the four walls, and not the ceiling or doors, how many square feet will she need to paint?Describe two different ways to find the area of this figure, and then show your work to make sure both ways give the same area.A circle has a diameter of 14 feet. Find the area of the circle (a) using 3.14 for p (b) using SW227 for p. (c) Which calculation to do prefer? Why?TRY IT: : 993 Find the (a) volume and (b) surface area of rectangular solid with the: length 8 feet, width 9 feet. and height 11 feet.TRY IT : : 9.94 Find the (a) volume and (b) surface area of rectangular solid with the: length 15 feet, width 12 feet, and height 8 feet.TRY IT : : 9.95 A rectangular box has length 9 feet, width 4 feet, and height 6 feet. Find its (a) volume and (b) surface area.TRY IT:: 9.96 A rectangular suitcase has length 22 inches, width 14 inches, and height 9 inches. Find its (a) volume and (b) surface area.TRY IT : : 9.97 For a cube with side 4.5 meters, find the (a) volume and (b) surface area of the cube.TRY IT: : 9.98 For a cube with side 7.3 yards, find the (a) volume and (b) surface area of the cube.TRY IT:: 9.99 A packing box is a cube measuring 4 feet on each side. Find its (a) volume and (b) surface area.TRY IT: : 9.100 A wall is made up of cube-shaped bricks. Each cube is 16 inches on each side. Find the (a) volume and (b) surface area of each cube.TRY IT: : 9.101 Find the (a) volume and (b) surface area of a sphere with radius 3 centimeters.TRY IT :: 9. 102. Find the (a) volume and (b) surface area of each sphere with a radius of 1 footTRY IT : : 9.103 A beach ball is in the shape of a sphere with radius of 9 inches. Find its (a) volume and surface area.TRY IT: : 9.104 A Roman statue depicts Atlas holding a globe with radius of 1.5 feet. Find the (a) volume and (b) surface area of the globe.TRY IT : : 9.105 Find the (a) volume and (b) surface area of the cylinder with radius 4 cm and height 7cm.TRY IT : : 9.106 Find the (a) volume and (b) surface area of the cylinder with given radius 2 ft and height 8 ft.TRY IT: : 9107 Find the (a) volume and (b) surface area of a can of paint with radius 8 centimeters and height 19 centimeters. Assume the can is shaped exactly like a cylinder.TRY IT :: 9.108 Find the (a) volume and (b) surface area of a cylindrical drum with radius 2.7 feet and height 4 feet. Assume the drum is shaped exactly like a cylinder.TRY IT : : 9109 Find the volume of a cone with height 7 inches and radius 3 inchesTRY IT : : 9.110 Find the volume of a cone with height 9 centimeters and radius 5 centimetersTRYIT:: 9,111 How many cubic inches of candy will fit in a cone-shaped piñata that is 18 inches long and 12 inches across its base? Round the answer to the nearest hundredth.TRY IT :: 9.112 What is the volume of a cone-shaped party hat that is 10 inches tall and 7 inches across at the base? Round the answer to the nearest hundredth.Find Volume and Surface Area of Rectangular Solids In the following exercises. find (a) the volume and (b) the surface area of the rectangular solid with the given dimensions. 263. length 2 meters, width 1.5 meters, height 3 metersFind Volume and Surface Area of Rectangular Solids In the following exercises. find (a) the volume and (b) the surface area of the rectangular solid with the given dimensions. length 5 feet, width 8 feet, height 2.5 feetFind Volume and Surface Area of Rectangular Solids In the following exercises. find (a) the volume and (b) the surface area of the rectangular solid with the given dimensions. length 3.5 yards, width 2.1 yards, height 2.4 yardsFind Volume and Surface Area of Rectangular Solids In the following exercises. find (a) the volume and (b) the surface area of the rectangular solid with the given dimensions. 266. length 8.8 centimeters, width 6.5 centimeters, height 4.2 centimetersIn the following exercises, solve. 267. Moving van A rectangular moving van has length 16 feet. width 8 feet, and height 8 feet. Find its (a) volume and (b) surface area.In the following exercises, solve. 268. Gift box A rectangular gift box has length 26 inches, width 16 inches, and height 4 inches. Find its (a) volume and (b) surface area.In the following exercises, solve. 269. Carton A rectangular carton has length 21.3 cm. width 24.2 cm, and height 6.5 cm. Find its (a) volume and (b) surface area.In the following exercises, solve. 270. Shipping container A rectangular shipping container has length 22.8 feet. width 8.5 feet, and height 8.2 feet. Find its (a) volume and (b) surface area.In the following exercises, find (a) the volume and (b) the surface area of the cube with the given side length. 271. 5 centimetersIn the following exercises, find (a) the volume and (b) the surface area of the cube with the given side length. 272. 6 inchsIn the following exercises, find (a) the volume and (b) the surface area of the cube with the given side length. 273. 10.4 feetIn the following exercises, find (a) the volume and (b) the surface area of the cube with the given side length. 274. 12.5 metersIn the following exercises, solve. 275. Science center Each side of the cube at the Discovery Science Center in Santa Ana is 64 feet long. Find its (a) volume and (b) surface area.In the following exercises, solve. 276. Museum A cube-shaped museum has sides 45 meters long. Find its (a) volume and (b) surface area.In the following exercises, solve. 277. Base of statue The base of a statue is a cube with sides 2.8 meters long. Find its (a) volume and (b) surface area.In the following exercises, solve. 278. Tissue box A box of tissues is a cube with sides 4.5 inches long. Find its (a) volume and (b) surface area.Find the Volume and Surface Area of Spheres In the following exercises, find (a) the volume and (b) the surface area of the sphere with the given radius. Round answers to the nearest hundredth. 279. 3 centimetersFind the Volume and Surface Area of Spheres In the following exercises, find (a) the volume and (b) the surface area of the sphere with the given radius. Round answers to the nearest hundredth. 280. 9 inchesFind the Volume and Surface Area of Spheres In the following exercises, find (a) the volume and (b) the surface area of the sphere with the given radius. Round answers to the nearest hundredth. 281. 7.5 feetFind the Volume and Surface Area of Spheres In the following exercises, find (a) the volume and (b) the surface area of the sphere with the given radius. Round answers to the nearest hundredth. 282. 2.1 yardsFind the Volume and Surface Area of Spheres In the following exercises, solve. Round answers to the nearest hundredth. 283. Exercise ball An exercise ball has a radius of 15 inches. Find its (a) volume and (b) surface area.?In the following exercises, solve. Round answers to the nearest hundredth. 284. Balloon ride The Great Park Balloon is a big orange sphere with a radius of 36 feet. Find its (a) volume and (b) surface area.In the following exercises, solve. Round answers to the nearest hundredth. 285. Golf ball A golf ball has a radius of 4.5 centimeters. Find its (a) volume and (b) surface area.In the following exercises, solve. Round answers to the nearest hundredth. 286. Baseball A baseball has a radius of 2.9 inches. Find its (a) volume and (b) surface area.Find the Volume and Surfae Area of a Cylinder In the following exercises, find (a) the volume and (b) the surface area of the cylinder with the given radius and height. Round answers to the nearest hundredth. radius 3 feet, height 9 feetFind the volume and surface Area of a Cylinder In the following exercises, find a the volume and b the surface area of the cylinder with the given radius and height. Round answers to the nearest hundredth. 288. radius 5 centimeters, height 15 centimetersFind the Volume and Surface Area of a Cylinder In the following exercises, find (a) the volume and (b) the surface area of the cylinder with the given radius and height. Round answers to the nearest hundredth. 289. radius 1.5 meters, height 4.2 metersFind the Volume and Surface Area of a Cylinder In the following exercises, find (a) the volume and (b) the surface area of the cylinder with the given radius and height. Round answers to the nearest hundredth. radius 1.3 yards, height 2.8 yardsIn the following exercises, solve. Round answers to the nearest hundredth. 291. Coffee can A can of coffee has a radius of 5 cm and a height of 13 cm. Find its (a) volume and (b) surface area.