A farmer has 3000 m if fencing on hand. Determine the dimensions of a rectangular fencing that encloses a maximum area.

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

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Q: Of all rectangles with a perimeter of 32, which one has the maximum area? (Give the dimensions.) The…

A: Here we have to find the length and width of the rectangle that has perimeter of 32 with maximum…

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: What are the dimensions of a rectangle with perimeter 160 cm and the maximum area' What is the…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

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

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

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Q: Find the maximum number of goldfish you can put in a cylindrical tank whose diameter is 8 meters and…

A: Fish would be put in the tank, that is, the volume of the tank. Hence the volume of the tank helps…

Q: a. A rectangular pen is built with one side against a barn. If 400 m of fencing are used for the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

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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…

Q: A rectangle garden has a circumference of 80mm. What is the maximum possible area of the garden?

A: Given: The perimeter of a rectangular garden is 80mm. A rectangle will have equal sides opposite to…

Q: A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be…

A: Consider x as the width of the rectangular field. Given that, 1000 yards of fencing materiel has…

Q: Two hundred forty meters of fencing is available to enclose a rectangular playground. What should be…

A: Consider the given perimeter of the rectangle as P=240m

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inchesby cutting…

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?

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Q: Find the dimensions of the rectangular garden of greatest area that can be fenced off (all four…

A: The perimeter of a rectangle is 2(x+y) where x is the length and y is width. The perimeter equals…

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

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Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

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Q: Find the maximum area of a rectangle with perimeter 8000 feet?

A: Let length of the rectangle= x feet  Width= y feet  So, perimeter= 2(x+y)=8000

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

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

A:

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

A:

Q: Find the length and width of a rectangle that has perimeter 64 meters and a maximum area.

A: Given perimeter of rectangle is 64 meters. Let length of rectangle be x. Perimeter of…

Q: A farmer would like to fence his rectangular lot on a river bank. If he has 800 m of fencing…

A: In the question consider the field as rectangular.  Let h be height of rectangle and b be breadth of…

Q: A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the…

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Q: An animal shelter has 160 feet of fencing to enclose two adjacent rectangular playpenareas for dogs.…

A: Sketch the adjacent rectangular playpen areas for dogs as shown below.

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A: The carpenter has a 10 foot longboard in the corner of a room. We have to find the maximum area of…

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: A farmer wishes to fence off a rectangular sheep pen and uses all of 100m of fencing. An adjoining…

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Q: A rectangular rice field is to be fenced along 4 sides and, in the middle, to divide it into two…

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Q: A rectangular piece of paper has 28 square inches of print in it. If its top and bottom margins were…

A: Figure ( using given information ):

Q: A man wants to fence 3 sides of his rectangular property with 1000 ft. of barbed-wire fencing. The…

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Q: A rectangular chicken pen is bounded on one side by the wall of the house and the other three sides…

A: A rectangular chicken pen is bounded on one side by the wall of the house and the other three sides…

Q: A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the…

A: Let the length and width of the rectangular garden be x and y respectively fence…

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: Find the length and width of a rectangle that has perimeter 80 meters and a maximum area.

A: Given: Perimeter of rectangle=80 meters

Q: Find the dimensions of a rectangle with a perimeter of 200 feet that has the maximum area.

A: Given that the perimeter of the rectangle is 200 feet.   Suppose that the length of the rectangle x…

Q: The Perimeter of a rectangle is 20 feet. Of all possible dimensions, the maximum area is 25 square…

A: Let the length = x Width= y So, perimeter= 2(x+y)=20  x+y=10 y=10-x

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

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Q: A rectangle with horizontal and vertical sides has one vertex at the origin, one on the positive x-…

A: consider an arbitrary point on line  2x+y=100 is   x , 100-2x which is the one of the vertex of the…

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: maximum volume

Q: What is the maximum area that can be completed with 240 feet of fencing? What are the dimensions?

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Q: Find the length and width of a rectangle that has the given perimeter and a maximum area Perimeter:…

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Q: WHAT IS THe MAXIMUM AREA ENCLOSED BY A RECTANGLE HAVING PERIMETER OF 52 INCHES?

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Q: What is the maximum area he can enclose?

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Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

A: Solution:Given Perimeter of the entire window=20 feetTo find the dimensions of the window Formula:If…

Q: Find the length and width of a rectangle that has 80 meters perimeter and a maximum area.

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

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