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A practice field is to be laid out in the shape of a rectangle with a semi-circular region at each end. The track coach wants

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A practice field is to be laid out in the shape of a rectangle with a semi-circular region at each end. The track coach wants the distance around the entire field to be 1 km and the Phys Ed teacher wants the rectangular area to be as large as possible. Find the dimensions of the field that will maximize the size of the rectangle

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