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You have 180 ft of fencing to construct the boundary of a rectangle. The rectangle haslength I and width w. Write the perimeter P and
You have 180 ft of fencing to construct the boundary of a rectangle. The rectangle haslength I and width w.• Write the perimeter P and area A of the rectangle in terms of I and w.• Write A in terms of w only. Hint: use substitution.• Find w that maximizes the area.• What is the corresponding / that maximizes the area?• What is the maximum area?
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