Question

The length of a rectangle is two times the width. The
perimeter of the rectangle is 24 inches. What is the area of
the rectangle (in square inches)?

Answer 1

Let width = w and length = 2w. Perimeter: 2(length + width) = 24 ⇒ 2(2w + w) = 24 ⇒ 6w = 24 ⇒ w = 4 in.
Length = 8 in. Area = length × width = 8 × 4 = 32 square inches.