SOLUTION: The frame of a picture is 28cm by 32cm outside and is of the uniform width. What is the width of the frame if 192cm^2 of the picture shows?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The frame of a picture is 28cm by 32cm outside and is of the uniform width. What is the width of the frame if 192cm^2 of the picture shows?      Log On


   

Question 32024: The frame of a picture is 28cm by 32cm outside and is of the uniform width. What is the width of the frame if 192cm^2 of the picture shows?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the width be x:
28+x and 32+x
Equation:
(28-2x)(32-2x)=192
89-120x+4x^2=192
4x%5E2-120x%2B704
x%5E2-30x%2B176
Use the quardratic formula:
x=%28-%28-30%29%2B-sqrt%28%28-30%29%5E2-4%2A1%2A176%29%29%2F2 -->Remove negative:
x=%2830%2B14%29%2F2
x=22
Hence, the unifrom width is 22cm.
Paul.