SOLUTION: 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 t

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Question 184856: 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?
Answer by checkley77(12844) About Me  (Show Source):
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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