Question: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The playground borders the school building, so the

A school wishes to form three sides of a rectangular playground using

A school wishes to form three sides of a rectangular playground using 240 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 X (a) Find a function that gives the area A (x) of the playground (in square meters) in terms of x. 4(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? Maximum area: square meters

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