the perimeter of a rectangle is 44.8 ft.  A) express the area of the rectangle as a function of the length of one of its sides.

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A: Let each side of the square cut-off from each corner be x in. then the length of the base of the box…

Q: Find the length and width of a rectangle with a perimeter 160 and whose area is a maximum.

A:

Q: The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the…

A: Given :- The back of Dante's property is a creek. Dante would like to enclose a rectangular area,…

Q: A rectangular lot has a perimeter of 80m. If its lot area is to be maximized, what is its length? *

A: Let the Length of the rectangle be:  x Let the Width of the rectangle be: y It is given that the…

Q: 5. Find the dimensions of the rectangle in the figure shown below that will give the maximum…

A: let's assume length of rectangle is yfeet now, equating perimeterP of given figure with 12feet so,…

Q: 9. A rancher has 400' of fencing with which to enclose two adjacent rectangular corrals. What…

A:

Q: a. A rectangular pen is built with one side against a barn. If 2200 m of fencing are used for the…

A: a)find the dimensions maximize the area of the pen

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Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2500 yd…

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Q: 3. A farmer has 6000 m of fencing and wishes to create a rectangular field subdivided into four…

A:

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given: Length of wire for electric fencing is 2000 m, and one side of plot is bounded by a river. To…

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A:

Q: If an isosceles triangle has perimeter P, how long must the legs of the triangle be to maximize its…

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Q: A farmer wants to build a riding arena in the shape of a rectangle topped by two semicircles. Find…

A: If you like the solution then please give it a thumbs up.. The Answer is:      Maximum Area = 160652…

Q: A farmer wants to fence a rectangular field and then divide it in half with a fence down the middle…

A:

Q: Suppose that a homeowner wants to create a rectangular enclosure for his pet turkey in his backyard…

A: It is given that, the rectangle has one side of enclosure and fencing on other 3 sides. A total of…

Q: A rectangular lot has a perimeter of 80m. If its lot area is to be maximized, what is its length?

A:

Q: Three pens of the same size are to be built along an existing fence. If 480 feet of fencing is…

A:

Q: Two chicken coops are to be built adjacent to one another using 120 ft of fencing. a. What…

A: Total fence needed is: (x+x+x)+y+y+y+y=3x+4y So, 3x+4y=120

Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

A: Concept: If a solid is formed through a wire then the perimeter of the solid is equal to the length…

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

A: The rectangle which can be inscribed in a right triangle with base 8 cm and height 6  cm.

Q: Define the livable space of a building to be the volume of space in the building where a person 6…

A:

Q: A package in the shape of a rectangular box can be sent by post as a postal order if the sum of its…

A: Solution by using Lagrange multipliers as follows :

Q: A first class radio-telephone operator wishes to cut the wire 100 meters long into two pieces. One…

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Q: What is the maximum volume of an open box that can be made from a square piece of cardboard, 10in on…

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Q: An open-top box is to be made from a 15-inch by 63-inch piece of cardboard by removing a square from…

A:

Q: A man wants to construct a rectangular enclosure around his model railroad. Only three sides must be…

A: Ans. Let the length of enclosure is x &             width of enclosure is y

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A:

Q: An open-top box is to be made from a 37 in. by 27 in. piece of cardboard by removing a square from…

A:

Q: Find the length and width of a rectangle with perimeter 196 and whose area is a maximum. Assume the…

A: Let the length of the rectangle is l              width of the rectangle is w.

Q: An open-top box is to be made from a 40 in. by 27 in. piece of cardboard by removing a square from…

A:

Q: A farmer wants to create four rectangular corral's to separate his livestock. He has 750m of fencing…

A: Let the dimension of the each rectangular corral be, x m by y m.The perimeter of one rectangular…

Q: A farmer is is building a fence to enclose a rectangular area against an existing wall, shown in the…

A:

Q: A track and field area is to be constructed in the shape of a rectangle with semicircles at each…

A: From the given data:

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A:

Q: An isosceles triangle has a perimeter of 30cm. What is the length of the base if its area is to be…

A:

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1400…

A: Given,          A lifeguard needs to rope off a rectangular swimming area in front of Long Lake…

Q: A home gardener estimates that 19 apple trees will have an average yield of 147 apples per tree. But…

A: Total  number of apple  trees=x+19GIVEN:Additional tree planted the yield will decrease by three…

Q: A farmer wants to rope off an area for a new garden using 3300 yards of rope. What dimensions of a…

A:

Q: A rancher has 244ft of fencing with which to build a rectangular corral alongside an existing fence.…

A:

Q: A rancher has 480 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: Total fencing needed in that given picture is= x+x+x+x+y+y+y=4x+3y Given that the rancher has 480…

Q: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of a…

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Q: A farmer has 1,200 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A:

Q: framer has 160 feet of fencing to enclose two adjacent rectangular pens. what dimensions should he…

A:

Q: Find the dimensions of the rectangle in the figure shown below that will give the maximum area, if…

A:

Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given: A courier service will deliver a package only if the length plus girth does not exceed 108…

Q: 3. Rae plans to build a rectangular pig pen against one of the walls of her barn. If she has 18…

A: