SOLUTION: Matt makes a cardboard frame to go around the edges of an 8cm * 10cm photograph. The frame has an area of 63 square centimeters and is of equal width all the way around. What is th

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Matt makes a cardboard frame to go around the edges of an 8cm * 10cm photograph. The frame has an area of 63 square centimeters and is of equal width all the way around. What is th      Log On


   

Question 179282: Matt makes a cardboard frame to go around the edges of an 8cm * 10cm photograph. The frame has an area of 63 square centimeters and is of equal width all the way around. What is the width?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
L*w=A
10*8=80
Let x be the increase in length or width in the frame compared to the picture.
(x+10)(x+8)=63+80
x^2+18x+80=143
x^2+18x-63=0
(x+21)(x-3)=0
x=3
.
Ed