SOLUTION: Can you explain how I solve this problem So far I know L=w+4 A photo is four inches longer than it is wide. A 3-inch border is placed around the photo making the total area of

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can you explain how I solve this problem So far I know L=w+4 A photo is four inches longer than it is wide. A 3-inch border is placed around the photo making the total area of       Log On


   

Question 202763: Can you explain how I solve this problem
So far I know L=w+4
A photo is four 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? Can you please help me solve involving applications of polyinomials?: A photo is four 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 scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
a 3 inch border adds 6 inches to the length and the width
area is length times width

your first equation is fine ___ L = w + 4

the 2nd equation ___ (L + 6)(w + 6) = 165

substituting ___ (w + 4 + 6)(w + 6) = 165 ___ (w + 10)(w + 6) = 165

expanding ___ w^2 + 16w + 60 = 165 ___ w^2 + 16w - 105 = 0

factoring ___ (w + 21)(w - 5) = 0 ___ so, w = 5

substituting ___ L = 5 + 4 ___ L = 9