A rancher has 840 feet of fencing to construct six corrals, as shown in the figure. Find the dimensions that maximize the enclosed area. What is the maximum area? The larger dimension x is feet. The smaller dimension y is feet. The maximum area is square feet.

Q: You have 1000 feet of fencing to construct six corrals, as shown in the figure. Find the dimensions…

A: Available fencing = 1000 ft∴ 4y+3x = 1000⇒ y = 1000-3x4   ---(1)Area enclosed , A = xy⇒A = x1000-3x4…

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Q: John wants to enclose his rectangular garden. One side of his garden is up against his house. If he…

A: Given that  John wants to enclose his rectangular garden. One side of his garden is up against his…

Q: Farmer Ed has 500 meters of fencing, and wants to enclose a rectangular plot that borders on a…

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A: According to given question we have where AB = 14 , BC = 12EF =BD = x and FD=EB = yArea of the…

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A: I am attaching image so that you understand each and every step.

Q: David has 40 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle…

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A: To solve the following problem

Q: Farmer Ed has 900 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A: Area = length x widthArea=A= x(900-2x)

Q: A farmer wants to fence in a rectangular pen and then divide it in half with a fence parallel to one…

A: Solution is below

Q: A rancher has 1000m of fencing to enclose three rectangular corrals. The corrals have the same…

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Q: Mr. Camu wants to enclose his vegetable garden at the back of his estate with a fence on 3 sides. He…

A: Since Mr. Camu has 30m of fencing. As he wants to enclose his vegetable garden with a fence on 3…

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A: Given that, A track-and-field playing area is in the shape of a rectangle with semicircles at each…

Q: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, as shown in the…

A: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, the equation…

Q: A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals (see…

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Q: 2. Find the length and width of a rectangle that has an area of 800 square feet and whose perimeter…

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Q: Find the dimensions of a rectangle with an area of 36 square feet that has the minimum perimeter.…

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Q: A farmer wants to build a rectangular pen with 80 feet of fencing. The pen will be built against the…

A: Ans One side of reactangular pen is the wall of the       barn , let the length be 'x'.Opposite side…

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Q: A farmer has 480 meters of fencing with which to build two animal pens with a common side as shown…

A: Given Length of fencing is 480m

Q: A rancher has 960 feet of fencing to construct six​ corrals, as shown in the figure. Find the…

A: Given: Length of rancher = x Width = y Fencing = 960 feet:   To find: Maximum possible are with…

Q: The perimeter of a rectangle is 36 m. Use a calculus approach to determine the maximum area of such…

A: The solution of above question is written below.

Q: A church window consisting of a rectangle topped by a semicircle is to have perimeter p . Find the…

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Q: A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If…

A: Given that, A rectangular area is to be enclosed by a wall on one side and fencing on the other…

Q: The area of a rectangle is 12 square inches.  Find the dimensions of the rectangle such that the…

A: To determine the dimensions of the rectangle of maximum perimeter.

Q: a rancher has 720 feet of fencing to construct six corrals, find the dimensions that maximized the…

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Q: A gardener is building a garden shaped like a rectangle. If he has 100 meters of fencing to go…

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Q: A rectangular flower bed has a width of x feet and a perimeter of 116 feet. Find x such that the…

A: Perimeter of rectangle = 2(length + width) Area of rectangle = length × width

Q: David has 40 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle…

A: Let x and y be the one sides of rectangle.                          2(x+y)=40  (given)…

Q: A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: The perimeter of the fence = x+x+x+x+y+y+y= 4x+3y   P=4x+3yPerimeter = 400 ft400=4x+3ysolve for…

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Q: Bubba, a farmer, wants to fence-in a three-sided area next to his barn, using the side of the barn…

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Q: The estimated monthly profit realizable by Hanover Jones Inc. for manufacturing and selling x units…

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Q: Christian has 72 m of fencing and wants to create a garden with two equal sized sections. The area…

A: The area of a garden is represented by A=-1.5 w2+36w

Q: 10. A farmer has 400 feet of fencing to enclose two adjacent sheep corrals. What should be the…

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Q: You have 300 feet of fencing to construct a rectangular pen for cattle. What are the dimensions of…

A: Let x be the length and y be the width of the pen. According to given, 2(x+y)= 300 150=x+y y=…

Q: Please

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

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Q: You have 120 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle…

A: we have been given the perimeter of the rectangular region : 120 feet we have to find the dimensions…

Q: ynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars)…

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Q: A farmer has 480 meters of fencing with which to build two animal pens with a ... common side as…

A: Let us assume that both pens have same dimensions.