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The Infield of a 440 Yard Track Consists of a Rectangle

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The infield of a 440 yard track consists of a rectangle and 2 semicircles. To what dimensions should the track be built in order to maximize the area of the rectangle? The infield of a 440 yard track consists of a rectangle and 2 semicircles. To what dimensions should the track be built in order to maximize the area of the rectangle?

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Let x and y be the dimensions as shown i...

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