Question

The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 42 inches. Find the length and width of the rectangle.

Answer 1

The length of the rectangle is 11 inches, and the width of the rectangle is 10 inches.

Explanation:

Let l be the length of the longer side of the rectangle. Then the width of the rectangle is l-1 inches. Since the perimeter of the rectangle is 42 inches, we have:

2(l + l - 1) = 42

l + l - 1 = 21

2l = 22

l = 11 inches, so l - 1 = 10 inches