A farmer wants to build a riding arena in the shape of a rectangle topped by two semicircles. Find the maximum possible area of such an enclosure if the farmer has 600 feet of fencing available.

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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: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

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

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: Imagine you want to enclose a field in the shape of a rectangle with a semicircle on one end. If you…

A: Imagine you want to enclose a field in the shape of a rectangle with a semicircle on one end. If you…

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 farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet of fencing. What…

A: Given problem:- A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet…

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

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

A: Given 2300m of wire is used for fencing three sides and one side is covered by river

Q: Show that the rectangle which has maximum area for a given perimeter is a square.

A: This problem can be solved by expressing the area of the rectangle as a function of single variable…

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…

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Q: A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square…

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

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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: 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 dimensions of the rectangular box of maximum volume if the sum of the length, width, and…

A: To find dimension of the rectangular box of maximum volume  Given sum of length, width and height…

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: 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 rectangle has a perimeter of 40m. What could be the maximum area of the rectangle?

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Q: The maximum possible volume of a rectangular box with the sum of its twelve edges 60 cm is

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Q: Suppose the farmer makes the rectangular holding pen using an existing fence for one side. What…

A: Let the farmer makes the rectangular holding pen using an existing fence for one side.  let the…

Q: A rancher plans to make four identical and adjacent rectan- gular pens against a barn, each with an…

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

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

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Q: 2. Find the length and width of a rectangle that has an area of 64 square feet and a minimum…

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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: According to postal regulations, a carton is classified as oversized if the sum of its height and…

A: NOTE- I have solved the second question as we are allowed to solve only one question in one session.…

Q: ) Ivan is laying out a page of a newspaper. He knows he needs to get 50 square inches of text on the…

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

A: maximum volume

Q: A dog park wants to enclose a rectangular plot of land that borders a lake and hence only requires…

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

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Q: 2. Find the dimensions of a rectangle with an area of 108 square feet that has the minimum…

A: Area of rectangle = (length)*(width) = 108 sq. ft we need to find dimensions of a rectangle with…

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 rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

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Q: A rectangular enclosure is built against a wall, which forms one side of the enclosure. If there is…

A: Let 'x' be the width of rectangular enclosure and 'y' be the length of rectangular enclosure.

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

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

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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: An aquarium is to be constructed to hold 2160 in The base is to made of slate and the sides of…

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