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Q14 [6 pts.]: A farmer wants to build a rectangular fence for his animals. He only has boards with a total length of 400 feet,

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Q14 [6 pts.]: A farmer wants to build a rectangular fence for his animals. He only has boards with a total length of 400 feet, and has no money to buy more. Recall, a rectangle of length r and width y has a circumference 2x + 2y and an area of ry. (a) Write a function A(x) for the area enclosed by the fence as a function of the length r. (b) Use the formula in (a) to find the length and width of the fence that give the maximum area. (c) Find the maximum area enclosed by the fence. + 9 / 13 Page NA

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