You have 268 feet of fencing to enclose a rectangular region find the demensions of the rectangle that maximize the enclosed area

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: topic - application of derivatives

Q: Arectangular bird sanctuary is being created with one side along a straight riverbank. The remaining…

A: let y be the length of the other two sides. Hence, total length that has to be covered by the fence…

Q: You have 200 feet of fencing to enclose a rectangular plot that borders a river on two sides. "f you…

A: From the given data:

Q: a landscape designer wants to construct a rectangular garden whose area is 2000 square metres. He…

A: Here we solve the given problem of calculus.

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Assume that the side length of the river side is x So AB=x Being a rectangle CD=x Now total fence…

Q: A farmer has 2000 yards of fence to enclose a rectangular field. What are the dimensions of the…

A:

Q: Afarmer owns 1000 m of fence and wants to enclose the largest possible rectangular area. The region…

A: we use second derivative test to find dimensions where area is maximum

Q: A farmer buys 120 m of fence. He wants to make 2 cages of 4 rectangles with the same length for his…

A: Let x and y be the  length and width of cage respectively (equals to dimensions of rectangle) total…

Q: A rectangular area is to be enclosed and divided into thirds. The family has $640 to spend for the…

A: The calculation are as follows

Q: A rectangle is 4 inches longer than it is wide. Numerically it's area exceeds its perimeter by 17.…

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Q: A rectangular room is 22 meters longer than it is wide, and its perimeter is 2020 meters. Find the…

A: Please refer the attached image for complete solution. THANKYOU.

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 wire 16 feet long has to be formed into a rectangle. What dimensions should the rectangle have to…

A: Given: Length of the wire = 16 feet Assumptions: Let x, y be the length and width of the rectangle…

Q: A farmer has 2,400 feet of fencing and wants to fence off a rectangular field that borders a…

A:

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Let us assume the side of bird sanctuary along the river side is x km and other side is y km. Since,…

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 rancher wants to build a rectangular corral for his horses. He also wants to split the corral into…

A:

Q: A rectangular window is surmounted by a semicircular window that is stained. The stained glass lets…

A: The perimeter of the window is 24. The perimeter of rectangle region + perimeter of semicircle…

Q: You have 200 feet of fencing to enclose a rectangular plot that borders a river on two sides. If you…

A:

Q: A farmer has 500 ft of fence for constructing a rectangular corral. One side of the corral will be…

A:

Q: Patricia decided to build a garden in her backyard. She bought 80 ft. of wire to enclose a…

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Q: A farmer has 2400 ft. of fencing and wants to fence off a rectangular field that borders a straight…

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Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Given:- A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

Q: A norman arch is a rectangle with a semicircle attached at one end. If you wish to make a window in…

A:

Q: the dimesnions of the pasture that will

A: Given that: A rancher has 300 feet of fencing to enclose a rectangular pasture bordered on one side…

Q: A farmer wants to fence a rectangular pasture using a river as one side. The pasture must contain…

A: A farmer wants to fence a rectangular pasture using a river as one side. The pasture must contain…

Q: A farmer has 1200 ft of fencing, enclosing a trapezoidal field along a river. One of the parallel…

A: Find the largest area the farmer can enclose.

Q: A rectangle is 7 cm longer than it is wide. Find the dimensions of the rectangle if its area is 337…

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Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will…

A: Given that Area =150 m2Solution:Area =xy xy=150y=150xperimeter=2x+yp=2x+150xfor maximum perimeter…

Q: A rectangular area is to be enclosed and divided into thirds. The family has $400 to spend for the…

A:

Q: You have 950 feet of fencing to enclose a rectangular plot that borders on a river. If you do not…

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Q: Farmer Ed has 700 700 meters of​ fencing, and wants to enclose a rectangular plot that borders on a…

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

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Q: Susan wants to enclose a little rectangular garden against 1 side of her house.  She has 80 feet of…

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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: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Given that a rectangular bird sanctuary is created with one side along a straight river bank. Then…

Q: You have 300 ft of fencing to enclose a rectangular plot that borders on a river. If you do not…

A:

Q: A stained glass window will be created as shown at the right. The cost of the semi-circular region…

A: Given: Total perimeter = 50 feet Cost of semicircular region = $10 per sq. ft. Cost of rectangular…

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:

Q: You have 600 ft of fencing material to construct a rectangular pen for cattle. What are the…

A: Draw diagram.for.pen

Q: A rancher has 308 feet of fencing with which to build a rectangular corral along side an existing…

A: Maximization problem

Q: A rancher has 100 yards of fencing to enclose a rectangular corral next to a river. No fencing is…

A: x=width  y=length total fence length is p=100 yards p=2x+y 100=2x+y y=100-2x

Q: Four feet of wire is to be used to form a square and a circle. How much of the wire should be used…

A: We have given the length of a wire 4 ft that is used to make square and circle;

Q: A gardener has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing…

A: GivenAmount of fence available=60 yards

Q: The perimeter of a rectangular lot is 170 m. Its length is 25 m more than its width. Find the…

A:

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: First draw a picture and let the length of the bank of the river be l and then solve.

Q: A rectangular tile has a length of 4X cm and width (x+3) cm. The area of a reactangle is less than…

A: Area of rectangle

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular​ , with…

A: The problem can be pictorially depicted as below. The perimeter available is 2x+y.According to given…

Q: 6. A rectangular classroom has length that is 1 meter more than 2 times the width. Find the…

A: Let assume  Width  of rectangular classroom = W=    x Length of rectangular classroom =L=    2x+1…