SAT Area and volume Practice Question 10 (Medium)

Math · Geometry and TrigonometryMedium

The length of a rectangle is $3$ times its width, and the perimeter of the rectangle is $64$ centimeters. What is the area, in square centimeters, of the rectangle?

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Answer: 192

Let the width be $w$ , so the length is $3w$ . The perimeter is $2(w + 3w) = 8w = 64$ , so $w = 8$ and the length is $24$ . The area is $8 \times 24 = 192$ square centimeters.

Using $w + 3w = 64$ (forgetting that a perimeter counts each side twice) gives $w = 16$ and an area of $768$ .

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