Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. List the dimensions in non- decreasing order (the answer may depend on r).
Q: Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.
A: let the length of rectangle is l and width is bthenperimeter of…
Q: Suppose that 208 ft of fencing are used to enclose a corral in the shape of a rectangle with a…
A: Given: 208 ft of fencing is used to enclose a coral From given figure diameter of the semicircle is…
Q: Find the dimensions of a rectangle with an area of 2568 m^2 whose perimeter is as small as possible.
A:
Q: Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.
A:
Q: Find the dimensions of a rectangle with area 1000m2 whoseperimeter is as small as possible.
A:
Q: dimensions
A: Please refer to the image below
Q: A closed box, whose length is twice its width, is to have a surface area of 192 sq. inches. Find the…
A: It's a closed box, so it has a top Let ? be the width of the box. Then its length is 2?. And the top…
Q: Find the dimensions of a rectangle of area 289 ft that has the smallest possible perimeter. shorter…
A: From the given problem the area of the rectangle is 289ft2. Let the sides of the rectangle is x…
Q: Starting with a 60-foot-long stone wall, a farmer would like to construct a rectangular enclosure…
A:
Q: An open-top box with a square base is to have a volume of 32 cubic feet. Find the dimensions of the…
A: To determine the dimension of the box which minimize the amount of material used.
Q: A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square…
A: The area of rectangle having length L and breadth B is given by Area=L×B and perimeter is calculated…
Q: A piece of wire 60 cm long is to be folded into a rectangle.what should be the dimensions so that…
A:
Q: A cylinder with a radius of 3 and a height that is 5 times the radius.
A: Radius = 3 , Height =3×5= 15Lateral surface area is thre area of sides excluding area of the…
Q: Find the dimensions of the rectangular corral producing the greatest enclosed area given 360 feet of…
A:
Q: Two similar rectangles have a scale factor of . How much larger is the perimeter of the larger…
A:
Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…
A: Given: x feet is the width of the rectangular part of the window. Perimeter of the window =8 feet.…
Q: Express the perimeter of the polygon. 24. X-7 X+ 5. D X 2x-3 25. x² + 4 5x-9 Ar x²-x+7
A: Since you have posted multiple questions i can do first question (with both subparts) as per our…
Q: Suppose a rectangular picture frame has a thin border made from a 144-inch-long strip of bronze. If…
A: # Considering the width of border negligible Length of the strip is 144 inch Now let the length of…
Q: Find the dimensions of a rectangle with are is 625 m^(2) whose perimeter is as small as possible.
A: Let x=Length and y=Width of rectangle. From the question, Area of rectangle is 625 m2 Area=xy=625…
Q: Find the dimensions of rectangle with perimeter 92 m whose area is as large as possible
A: We have given rectangle of perimeter is 92m. Let the length and breadth of the rectangle are x and…
Q: Find the area of the largest circle which can be cut from a square of edge 5 in. What is the area of…
A: square edge(L) = 5 in.Area of square = L^2= 5*5= 25 sq.inthe center of the square will be the center…
Q: Find the dimensions of the rectangle of area 100 square units that has the least perimeter.
A: Solution:- Area of rectangle=100 Let assume Length of rectangle=x breath of rectangle=y Area of…
Q: Find the dimensions of a rectangle with area 1,728 m² whose perimeter is as small as possib m…
A:
Q: Find the largest area of the circle which can be cut from a square of edge 4 in. What is the area of…
A: We have to find largest area of the circle which can be cut from a square of edge 4 inches and area…
Q: If a closed tin can of volume 16x cubic inches is to be in the form of a right circular eylinder,…
A:
Q: Find the dimensions of the largest rectangle that can be inscribed in a semicircle of radius 10. *
A: From the given figure we can derive length and breadth. below are the steps.
Q: Find the dimensions of a rectangle (in m) with area 216 m whose perimeter is as small as possible.
A: Let x be the length and y be the width of rectangle, Perimeter P=2(x+y), Area A=xy Given A=216…
Q: The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…
A:
Q: What is the maximum volume of an open box that can be made from a square piece of cardboard, 10in on…
A:
Q: Find the dimensions of the rectangle of greatest area that can be inscribed in a circle of radius a.
A: Let x and y be the length and width of the rectangle inscribe in a circle of radius a. Then the…
Q: Find the dimensions of a rectangle of area 255 square centimeters that has the least perimeter.…
A: Given The a rectangle of area 255 square centimetres .
Q: Suppose that 465 ft of fencing are used to enclose a corral in the shape of a rectangle with a…
A: We are given that 465 ft of fencing is used to enclose a corral in the shape of a rectangle with a…
Q: Suppose that 477 ft of fencing are used to enclose a corral in the shape of a rectangle with a…
A: Given that: Length of total fencing =477ft NOTE: As per our answering…
Q: Find the longer dimension of the rectangle enclosed in a semicircle y=/144- x2 with the largest…
A:
Q: if the hypotenuse of a right triangle is 25, show that the area is a maximum of it is isosceles
A:
Q: Suppose that 404 ft of fencing are used to enclose a corral in the shape of a rectangle with a…
A: Area of the shape=Area of the semicircle+Area of rectangle .Area of semicircle=πx22x12…
Q: has 800 m of rope. Determine the dimensions that provide the greatest possible area. 5. A lifeguard…
A: To determine the dimensions of the rectangular swimming area if the length of the rope is 800 m.
Q: The shape of a Norman window can be approxiamated by a rectangle with a semicircle on the top. What…
A:
Q: A rectangle 20 m long and 2 m tall is to be cut twice perpendicularly to the base. The result will…
A: Topic :- application of derivatives
Q: Find the area of a square whose diagonal has length V10 in.
A:
Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r .
A:
Q: A Norman window has the shape of a rectangle surmountedby a semicircle. (Thus the diameter of the…
A: A Norman window has the shape of a rectangle surmountedby a semicircle. Let length of rectangle =2y…
Q: Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible. m…
A: given that perimeter of rectangle is 100m let dimensions of rectangle be l and b. so,…
Q: Find the edge of a cube if its total area is numerically equal to three times its volume.
A:
Q: The base of a three-dimensional figure is bound by the semi-circle y = √9-x². Vertical cross…
A: Given: Let us consider the given semi-circle, y=9-x2 Let's determine the Area of the square.
Q: Starting with a 20-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…
A: Introduction: Consider the function f ( x ) with one variable. Using derivatives, the function…
Q: Find the dimensions of the rectangle in the figure shown below that will give the maximum area, if…
A:
Q: find the lenght and width of a rectangle that has the given perimeter and a maximum area perimeter:…
A: We have to find the lenght and width of a rectangle that has the given perimeter and a maximum…
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images
