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calculate and find Taylor wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he

calculate and find

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Taylor wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Taylor has 750 feet of fencing, you can nd the dimensions that maximize the area of the enclosure. a) Let W be the width of the enclosure (perpendicular to the barn) and let L be the length of the enclosure (parallel to the barn). Write an function for the area A of the enclosure in terms of W. (HINT rst write two equations with W and L and A. Solve for L in one equation and substitute for L in the other). A(W) = Preview b) What width W would maximize the area? m = ft Round to nearest half foot c) What is the maximum area? A = square feet Round to nearest half foot

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