Racetrack design the accompanying figure depicts a, Mathematics

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Racetrack design the accompanying figure depicts a

RACETRACK DESIGN The accompanying figure depicts a racetrack with ends that are semicircular in shape. The length of the track is 1760 ft (1/3 mi). Find l and r so that the area enclosed by the rectangular region of the racetrack is as large as possible. What is the area enclosed by the track in this case?

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