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Geometry and Trigonometry
Difficulty: Easy
The area of a rectangle is square inches. The length of the longest side of the rectangle is inches. What is the length, in inches, of the shortest side of this rectangle?
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Explanation
The correct answer is . The area of a rectangle can be calculated by multiplying the length of its longest side by the length of its shortest side. It’s given that the area of the rectangle is square inches and the length of the longest side of the rectangle is inches. Let represent the length, in inches, of the shortest side of this rectangle. It follows that . Dividing both sides of this equation by yields . Therefore, the length, in inches, of the shortest side of the rectangle is .