2. The length of the diagonal of a square is 4 cm shorter than the perimeter of an equilateral triangle having the same side length as the square. Find the side length of the square.

Q: The area of a parallelogram is 36 m2. If the height of the parallelogram is 9 m, what is the length…

A: Area of the parallelogram is , Area = 36 m2 The height of the parallelogram is, h = 9 m To evaluate…

Q: A trapezoid with sides 8, 8, 8, and 10 has area___?

A: It is given that the sides of the trapezoid are 8,8,8,10. If the draw 2 perpendicular lines AE and…

Q: An isosceles triangle whose equal sides form an angle θ and whose third side has length t sits on…

A:

Q: The sides of a right triangle have lengths of 6 cm, 8 cm, and 10 cm. Which length is that of the…

A: Given  The sides of right angle triangle are 6 cm  , 8 cm and 10 cm

Q: What is the length of the diagonal of a rectangle given the dimensions are 8 ft by 5 ft? Round to…

A: Given: Dimension of rectangle = 8 ft x 5 ft

Q: the diagonals of a rectangle ore 48 centimecters long Ond intersect at an ongle of 32°. What Is the…

A: The graphical representation of the given data is shown as the following. So, as per the question,…

Q: the perpendicular bisector of the sides of triangle JKL intersects at point p. if JP= 2x+5 meters…

A:

Q: 2. Illustrate that the sum of the measures of the angles of an elliptic triangle is more than 180°.

A: We will illustrate that the sum of the measures of the angles of an elliptic triangle is more than…

Q: An isosceles trapezoid-shaped flower bed has the minor base of M 12, the major base of M 21, the…

A:

Q: A parallelogram with sides of length of 2.5 feet and 5 feet, and a distance between the 5-foot sides…

A: Introduction :We have given a parallelogram which have sides = 2.5 feet and 5 feetand the distance…

Q: rancher decides to enclose a rectangular region by using an existing fence along one side of the…

A: Given query is to find the dimensions of the rectangular region.

Q: If the height of an equilateral triangle is 7/3, then the length of its side is

A:

Q: c) A triangular sail has a perimeter of 25 m. Side a is 2 m shorter than twice side b, and side cis…

A: Find the side a,b,c

Q: If the length of this parallelogram is 12cm long and the width is 8cm long, how long is its…

A: Find perimeter of parallelogram

Q: A rectangle has a width of 16 cm and a diagonal of length 20 cm. How long is the rectangle?

A: We have a given rectangle width is 16 cm diagonal length is 20 cm    We have to find the length of…

Q: A right triangle has two equal sides. If the hypotenuse is 20 meters, what is the length of the…

A: Given  In a right triangle  Hypotenuse = 20m  Other two sides are equal.

Q: 3. The area of a kite is 24 sq. inches. What are the possible lengths of the diagonals?

A:

Q: Determine the area of rhombus ABDC if its perimeter is 100 cm, and the length of RB is 14 cm.

A: In this question we have to find the area of rhombus.

Q: What is the length of the side between point A and point B?

A:

Q: A quadrilateral has sides equal to 12 cm, 20 cm, 8 cm, and 17 cm respectively. If the sum of the two…

A:

Q: A farmer has 264 ft. of fencing to enclose a triangular field. If the farmer wants the sides of the…

A:

Q: 3. If one side of a rhombus measures 12 cm, find its perimeter.

A: If one side of a rhombus measures 12 cm. We have to find the perimeter of rhombus.

Q: A toy manufacturer needs a piece of plastic in the shape of a right traingular with one leg 8 cm…

A:

Q: A lot in a shape of a rhombus has length 60 m and its diagonal measures 80 meters. If it is to be…

A: The area of the figure can be calculated using the formula for the area. The formula for the area of…

Q: From a point outside an equilateral triangle, the distances to the vertices are 10 m, 18 m, and 10 m…

A: From a point outside an equilateral triangle, the distances to the vertices are 10 m, 18 m, and 10 m…

Q: A triangle has a height of 10cm more than twice the length of the base. If the area of the triangle…

A:

Q: An athletic field is a 40 yd​-by-80 yd ​rectangle, with a semicircle at each of the short sides. A…

A:

Q: The height of an equilateral triangle is also the perpendicular bisector of its base. Determine the…

A:

Q: 13. If an equilateral triangle has an altitude that is 15 inches long. What is the length of the…

A: Since, we hhave been given that an equilateral triangle has an altitudethat is 15 inches long. Our…

Q: Given a square whose side is denoted as 3(x+4)² cm. What is the diagonal length (in) of the square…

A: As we haven't mentioned which question to solve. So, I am solving first question. Given: A square…

Q: A right triangle has an area of 84 ft2 and a hypotenuse  25 ft long. What are the lengths of its…

A: A triangle is a polygon having three sides and three vertices. The sum of the interior angles of…

Q: 2. The length of the photo is two more than the width. The area is 24sq in. What are the dimensions…

A: Question 2. Suppose that length of photo is x inch and according to question width of photo is (x +…

Q: 6. The area of a trapezium is 400 cm2 and the length of the parallel sides is 13 cm and 27 cm. Find…

A: We have to use area of trapezium formula.

Q: A rectangular lot which has an area 120sq.m will be divided into two portions such that the product…

A: Consider the rectangular is divided into two portions with areas x and y. So, x +y = 120…

Q: 2. Find the length of a side of a square whose area is the same as that of a rectangle 24 cm by 30…

A: We use Area of square = (side)2 Area of rectangle = Length X Breadth

Q: 3. The area of a triangle is 84 square meters. What is the base if the height is 12 meters?

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: if the width of a parallelogram is 8m and the length is 12 m What is the perimeter of the…

A: The width of a parallelogram is 8m and the length is 12 m We have to find the perimeter of the…

Q: 2. Find the length of a rectangular lot 14 m wide and with 50 m digonal path.

A: As per guidelines we have to solve one question

Q: 19. The area of an isosceles trapezoid is 108 cm? and the height of the trapezoid is equal 9cm.…

A:

Q: A quadrilateral has sides equal to 7, 8, 10, and 12 mm. Assuming that the sum of the opposite angles…

A: Given,            A quadrailateral has sides equal to 7,8,10 and 12 mm. Assuming that the sum of the…

Q: 2. If the slant height of the cone is 16 cm and the total area is 120t sq. cm., find the height of…

A: Let's find.

Q: the ratio of the perimeters of two similar polygons is 2: 3.The area of the large polygon is 45 cm².…

A: We are given with the ratio of perimeter of two polygons and we are given with the area of larger…

Q: In a symmetrical trapezium the inclination angle of the diagonal to the longer parallel base is 45°,…

A: area of trapezium problem.....

Q: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies that a…

A: Given: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies…

Q: Mr. Armstrong wishes to build a deck of uniform width around his pool.  The pool is rectangular and…

A: Let the width of the deck be x so the diagram of the pool and deck will be as following We know…

Q: From the point inside the square the distance to three comers are 4, 5, and 6 cm respectively. Find…

A:

Q: A factory is to be built on a lot measuring 114 ft by 152 ft. A local building code specifies that a…

A: Given: total area of yard and building = 114 ×152 ft2 = 17328 ft2 Now it is given that according to…

Q: 4. One diagonal of an isosceles trapezoid measures 72 cm and one leg measures 40 cm. What is the…

A: Given,     One diagonal of an isosceles trapezoid measures= 72 cm…