SOLUTION: The length of a picture frame is 2 inches greater than its width. If the area of the frame is 143 sq inches, what is its width?

Algebra ->  Length-and-distance -> SOLUTION: The length of a picture frame is 2 inches greater than its width. If the area of the frame is 143 sq inches, what is its width?       Log On


   

Question 450602: The length of a picture frame is 2 inches greater than its width. If the area of the frame is 143 sq inches, what is its width?
Answer by rwm(914) About Me  (Show Source):
You can put this solution on YOUR website!
L=W+2
area =length times width
A=L*W
A=(W+2)*W
143=(W+2)*W
143=W^2+2W
W^2+2W-143=0
find factors of -143 which add up to 2
-11 and 13 fit
(W-11)*(W+13)=0
W=11
W=-13
We can't use negative measurements.
11 and 11+2
11 and 13