could someone help assist me?

Question

The length of a rectangle is 2 inches more than the width. The area is 35 square inches. Find the dimensions.

The length of the rectangle is _______ inches, while the width is, _______ inche

Answer 1

L = W+2

 

A = 35 = L * W = (W+2) * W = (W^2) + 2W

-->  0 = (W^2) + 2W - 35 = (W+7) (W-5)  -->  either (W+7)=0 or (W-5)=0

-->  W+7 = 0 --> W = -7  -->  impossible since a length cannot be negative

OR

-->  W-5 = 0  -->  W = 5  -->  only logical answer

 

L = W + 2 = 5 + 2 = 7

 

So, the length of the rectangle is 7 inches and the width is 5 inches.