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A playground is in the shape of a square . If the perimeter of the playground is 60 feet , find the diagonal distance across the park , leave your answer in simplest radical form .

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musiclover10045

The perimeter is the sum of the 4 sides of the square. Divide the perimeter by 4 to find the length of one side:

60/4 = 15

Now using the Pythagorean theorem find the diagonal:

Diagonal = √(15² + 15²)

Diagonal = 15√2 ( or 21.213 as a decimal answer)

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