Janelle S. answered 03/02/16
Tutor
4.7
(26)
Penn State Grad for ME, Math & Test Prep Tutoring (10+ yrs experience)
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.