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A school wishes to form three sides of a rectangular playground using 440 meters of fencing. The playground borders the school building, so the

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A school wishes to form three sides of a rectangular playground using 440 meters of fencing. The playground borders the school building, so the fourth side does not need fencing. As shown below, one of the sides has length x (in meters). Side along school building (a) Find a function that gives the area A (x) of the playground (in square meters) in terms of X. (x)-0 (b) What side length x gives the maximum area that the playground can have? Side length x meters (c) What is the maximum area that the playground can have? 13

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