Find i and r such that the area of the rectangular region, Mathematics

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Find i and r such that the area of the rectangular region

The accompanying figure depicts a racetrack with ends that are semicircular in shape. The length of the track is 880 ft (1/6 mi).

2416_A racetrack with ends that are semicircular in shape.png

Find I and r such that the area of 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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Mathematics: Find i and r such that the area of the rectangular region

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Mathematics: Find i and r such that the area of the rectangular region

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