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Mathematics 87 Online
OpenStudy (anonymous):

A track-and-field coach wants two laps around the field to be 1000m. The physical education department needs a rectangular field that is as large as possible. Determine the dimensions of the track that will maximize the entire enclosed area. Do these dimensions meet the needs of the track coach and the physical education department? Explain. (There is also a diagram of a rectangle with two semicircles at each end. This represents the field.)

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