Answer:
Width = 21 inches and length = 27 inches.
Step-by-step 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.
