SOLUTION: A photo is 3 inches longer than it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of t

Algebra.Com
Question 161947: A photo is 3 inches longer than it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108 square inches. What are the dimensions of the photo?
I know the length and the width are are 12 and 9. I assume that I would subtract 2 from both of these in for the answer. I just don't know how to write it in the form of an equation.

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
actually, subtract 4 (2 at each end)

dimensions of photo __ x and x+3

with border __ x+4 and x+7

(x+4)(x+7)=108 __ x^2+11x-80=0 __ factoring __ (x+16)(x-5)=0

x+16=0 __ x=-16 __ negative value not realistic

x-5=0 __ x=5 __ substituting __ x+3=8

RELATED QUESTIONS

A photo is 3 inches longer than it is wide. A 2 inch border is placed around the photo... (answered by jojo14344)
A photo is 3 inches longer than it is wide. A 2-inch border is placed around the photo... (answered by jojo14344)
A photo is 3 inches longer than it is wide. A 2 inch border is placed around the photo... (answered by checkley77)
A photo is 4 inches longer than it is wide. A 3 inch border is placed around the photo... (answered by solver91311)
A photo is 4 inches longer than it is wide. A 3 inch border is placed around the photo... (answered by jim_thompson5910)
A photo is 4 inches longer than it is wide. A 3-inch border is placed around the photo... (answered by checkley77)
A photo is 4 inches longer than it is wide. A 3-inch border is placed around the photo... (answered by checkley77)
A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo... (answered by solver91311)
A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo... (answered by nerdybill)
A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo... (answered by ankor@dixie-net.com)