A rectangle has a length that is three times its width, and its perimeter measures 96 meters. What is the area of the rectangle?

Explanation

Let the width be x meters. Then the length is 3x meters. The perimeter is given by 2(length + width) = 96, so 2(3x + x) = 96, which simplifies to 8x = 96. Solving for x gives x = 12 meters. Therefore, length = 36 meters. The area is length × width = 36 × 12 = 432 square meters.