Question

A rectangle has a length that is 3 more than twice the width. It's perimeter is 96 inches. Which equation models this? A. 2w+3=96 B. w+2w+3=96 C. 2(w)+2(w+3)=96 D. 2(w)+2(2w+3)=96

Answer 1

Answer: D. 2w + 2(2w+3) = 96

Explanation:

Perimeter = 2l + 2w

l = 2w + 3

Plug l into the perimeter equation

Perimeter = 2w + 2(2w+3)

Perimeter = 96

96 = 2w + 2(2w+3)

If you want to simplify, w = 22.5