SOLUTION: A picture frame is 14cm by 18cm. There are 192cm^2 of picture showing. Find the width of the frame. The frame is _____cm wide. Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A picture frame is 14cm by 18cm. There are 192cm^2 of picture showing. Find the width of the frame. The frame is _____cm wide. Thank you       Log On


   

Question 40364: A picture frame is 14cm by 18cm. There are 192cm^2 of picture showing. Find the width of the frame.
The frame is _____cm wide.
Thank you
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
length --> 18-x-x->18-2x
width --> 14-x-x->14-2x
EQUATION:
(18-2x)(14-2x)=192
4x%5E2-64x%2B252=192
x%5E2-16x%2B15=0
x+=+%28-%28-16%29+%2B-+sqrt%28+%28-16%29%5E2-4%2A1%2A15+%29%29%2F%282%2A1%29+
x=15 or x=1
Hence, the unifrom width is 1 cm.
Paul.