SOLUTION: A 5 inch by 8 inch rectangular picture has a frame of uniform width. if the area of the frame is 114 square inches, what is the width of the frame?

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Question 372455: A 5 inch by 8 inch rectangular picture has a frame of uniform width. if the area of the frame is 114 square inches, what is the width of the frame?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Picture width = 5 in
picture length = 8 in
Area = 40 in^2
...
uniform width let it be x in
..
total width = 5+2x
total length = 8+2x
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Total area = (5+2x)(8+2x)
=40+10x+16x+4x^2
=4x^2+26x+40
...
Total area - picture area = area of frame
4x^2+26x+40 -40=114
4x^2+26x-154=0
...
use the quadratic formula to get the roots of the equation
discriminant = 3140
x1= %28%28%28-26%2Bsqrt%283140%29%29%2F%288%29%29%29
x1= 3.75
x2=%28%28%28-26-sqrt%283140%29%29%2F%288%29%29%29
x2=-10.25 ( ignore )
width = 3.75 in
..
m.ananth@hotmail.ca