Posted by **Jennifer** on Sunday, April 1, 2012 at 5:55pm.

The outside dimensions of a piece of framework is 24 inches by 20 inches. The area of the picture is 320 square inches. Find the width of the frame itself

- math 102 -
**Steve**, Sunday, April 1, 2012 at 7:30pm
if the dimensions of the artwork are x and y, and the frame width is w,

x+2w = 24

y+2w = 20

xy = 320

(24-2w)(20-2w) = 320

(12-w)(10-w) = 80

120 - 22w + w^2 = 80

w^2 - 22w + 40 = 0

(w-2)(w-20) = 0

w = 2 or 20

I leave you to make the proper choice

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