SOLUTION: You work for a company that produces custom picture frames. A new customer needs to frame a piece of rectangular artwork with dimensions of 11 x 15 in. They don't want the framed a

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Question 1083629: You work for a company that produces custom picture frames. A new customer needs to frame a piece of rectangular artwork with dimensions of 11 x 15 in. They don't want the framed art to be too big so they want to limit its area to 320 in^2^2. What should the width of the frame be to accommodate their wishes?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%2811%2B2x%29%2815%2B2x%29%3C=320, the FRAMED ART not be be more than 320 square inches.

11%2A15%2B30x%2B22x%2B4x%5E2%3C=320

4x%5E2%2B52x%2B11%2A15-320%3C=0

4x%5E2%2B52x-155%3C=0

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discriminant 52%5E2%2B4%2A4%2A155=5184=72%5E2

x=%28-52%2B72%29%2F%282%2A4%29, PLUS form because x must not be a negative value.

x=20%2F8=10%2F4=5%2F2=highlight%282%261%2F2%29
Frame must not be more than 2.5 inches wide.