## The length of a rectangle is 6 centimeters more than its width. The area is 216 square centimeters. What are the dimensions?

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## Answers ( )

Answer:18

Step-by-step explanation:216 divided by 6 = 3636 divided by 2 = 18l = 6 + w

A = l × w = 216 cm²

(6 + w)·w = 216

6w + w² = 216

w² + 6w – 216 = 0

w² + 18w – 12w = 0

w(w + 18) – 12(w + 18) = 0

(w – 12)(w + 18) = 0

w – 12 = 0 => w = 12 cm

w + 8 = 0 => w = – 18 ∉ N

w = 12 cml = 12 cm + 6cm

l = 18 cm