SOLUTION: A framer at a photo gallery wants to frame a print with a matte of uniform width all around the print. To make it pleasing to the eye, the area of the matte should equal the area

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Question 141572: A framer at a photo gallery wants to frame a print with a matte of uniform width all around the print. To make it pleasing to the eye, the area of the matte should equal the area of the print. If the print measures 40 cm by 60 cm, how wide should the matte be?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
60*40=2400 cm^2
Let x be the width of the matte.
(2x+60)*(2x+40)=4800
4x^2+200x+2400=4800
4x^2+200x-2400=0
4(x^2+50x-600)=0
(x+60)(x-10)=0
x=10 cm
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Ed