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4.4 Area and Volume - Area of polygons and composite shapes
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The area of a rectangle is 57 square inches. The length of the longest side of the rectangle is 19 inches. What is the length, in inches, of the shortest side of this rectangle?

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The area of a rectangle is 57 square inches. The length of the longest side of

Medium-difficulty · SAT Math · Area and Volume — Area of polygons and composite shapes. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 3 . 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 57 square inches and the length of the longest side of the rectangle is 19 inches. Let x represent the length, in inches, of the shortest side of this rectangle. It follows that 57=19x. Dividing both sides of this equation by 19 yields 3=x. Therefore, the length, in inches, of the shortest side of the rectangle is 3 .