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Suppose that 900 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a

Suppose that 900 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as in the figure below. Find the dimensions of the corral with maximum area.

x=

y=

y

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