SOLUTION: A 16 by 20-inch mounting board is used to mount a photograph. How wide a uniform border is needed if the photograph occupies 3/5 of the area of the mounting board?
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Question 350353: A 16 by 20-inch mounting board is used to mount a photograph. How wide a uniform border is needed if the photograph occupies 3/5 of the area of the mounting board?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the width of the uniform border. Then the dimensions of the picture must be 
and 
. The area of the overall picture and mounting board is 
in2 -- 
of which is 1920 in2.
So:
\left(\Large 20\ -\ 2x\right)\ =\ 1920)
Multiply out the binomials, collect terms, put the equation into standard quadratic form, and then solve for , the width of the border.
John
My calculator said it, I believe it, that settles it
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