Answer:
length = 9 in and width = 4 in
Explanation:
let w represent width then length = w + 5
the area ( A) of a rectangle is calculated as
A = width × length
given A = 36 then
w(w + 5) = 36
w² + 5w = 36 ( subtract 36 from both sides )
w² + 5w - 36 = 0 ← in standard form
(w + 9)(w - 4) = 0 ← in factored form
equate each factor to zero and solve for w
w + 9 = 0 ⇒ w = - 9
w - 4 = 0 ⇒ w = 4
However w > 0 , then w = 4 and
length = w + 5 = 4 + 5 = 9
that is width = 4 inches and length = 9 inches