Answer:
width = 9 inches , length = 12 inches
Explanation:
let width be w then length = w + 3
area (A) of a rectangle is calculated as
A = length × width
= (w + 3) × w = w(w + 3) = w² + 3w
given A = 108 , then
w² + 3w = 108 ( subtract 108 from both sides )
w² + 3w - 108 = 0 ← in standard form
(w + 12)(w - 9) = 0 ← in factored form
equate each factor to zero and solve for w
w + 12 = 0 ⇒ w = - 12
w - 9 = 0 ⇒ w = 9
however, w > 0 , so w = 9 and w + 3 = 9 + 3 = 12
then width = 9 inches and length = 12 inches