SOLUTION: A picture frame is 18 cm by 14cm. There are 192 cm2 of picture showing. Find the width of the frame.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A picture frame is 18 cm by 14cm. There are 192 cm2 of picture showing. Find the width of the frame.      Log On


   

Question 284587: A picture frame is 18 cm by 14cm. There are 192 cm2 of picture showing. Find the width of the frame.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the width be x
width = 14-2x
length = 18-2x
(14-2x)(18-2x)=192
252-28x-36x+4x^2=192
252-64x+4x^2=192
4x^2-64x+60=0
x^2-16x+15=0
x^2-15x-x+15=0
x(x-15)-1(x-15)=0
(x-15)(x-1)=0
x=15 or 1
so width = 1inch