Question

The length of a rectangle is 6 inches longer than it’s width. The perimeter is 96 inches. Find the dimensions (length and width) is the rectangle

Answer 1

Width = 21 inches and length = 27 inches.

Explanation:

The formula of perimeter is Perimeter = 2·length + 2·width. The length is 6 inches longer than width, we can call "x" to the width ⇒ length = x + 6.

Perimeter = 2·(x + 6) + 2·x ⇒ Perimeter = 2x + 12 + 2x ⇒

Perimeter = 4x +12 ⇒ 96 = 4x + 12⇒ 96 - 12 = 4x ⇒84 = 4x

⇒ 84/4 = x ⇒ x = 21.

So, width = 21 inches and length = 27 inches.