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.Com
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) (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
RELATED QUESTIONS
The original problem was:
[A photo is 4 inches longer than it is wide. A 3-inch border... (answered by Earlsdon)
A photo is four inches longer than it is wide. A 3-inch border is placed around the... (answered by rajagopalan)
A photo is 3 inches longer than it is wide. A 2-inch border is placed around the photo... (answered by scott8148)
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)
Please help me solve this problem
A photo is 3 inches longer that it is wide. A 2-... (answered by 0193)
Another story problem I am having trouble with
A photo is 3 inches longer than it is... (answered by ankor@dixie-net.com)