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Problem 9 - Entrance Test

In the figure below, the areas of the three squares are 1, 4, and 9, respectively. If the rectangle is formed by combining two of the squares, which two squares would give the largest perimeter for the rectangle?

Correct: C

To maximize the perimeter of the rectangle formed by combining two of the squares, we want the sides of the rectangle to be as large as possible. Thus we should use the two largest squares (side lengths 3 and 2) to form the rectangle, so the correct answer is the largest and the medium.