question archive One side of a rectangle is 5 feet longer than the other side

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One side of a rectangle is 5 feet longer than the other side. The diagonal of the rectangle is a side of a square. The area of the part of the square that doesn't overlap with the rectangle is 61 square feet. Find the lengths of the sides of the rectangle. Solve the problem by composing and solving an equation. Answer by guessing will give no credit.

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