Question 184856

Question 184879 in Polynomials-and-rational-expressions: 

A photo is 4 inches longer than it is wide. A 3-inch border is placed around the photo making the total area of the photo and border 165 square inches. What are the dimensions of the photo? 
 



L=W+4
(L+2*3)(W+2*3)=165
(W+4+6)(W+6)=165
(W+10)(W+6)=165
W^2+16W+60-165=0
W^2+16W-105=0
(W+21)(W-5)=0=0
W-5=0
W=5 ANS. FOR THE WIDTH OF THE PHOTO.
L=5+4=9 ANS. THE LENGTH OF THE PHOTO.
PROOF:
(9+6)(5+6)=165
15*11=165
165=165