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A running track consists of a rectangle with a semicircle at each end, as shown below. If the perimeter is to be exactly 420 yards,

A running track consists of a rectangle with a semicircle at each end, as shown below. If the perimeter is to be exactly 420 yards, find the dimensions that maximize the area of the rectangle. [Hint: The perimeter is

2x + 2?r.]

(Enter your answer as an ordered pair in the form x, r. Round your answers to the nearest yard.)

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