SOLUTION: A piece of sheet metal, w = 16 inches wide, is bent to form the gutter shown in the illustration. If the cross-sectional area is 24 square inches, find the depth of the gutter.

Question 706353: A piece of sheet metal, w = 16 inches wide, is bent to form the gutter shown in the illustration. If the cross-sectional area is 24 square inches, find the depth of the gutter.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
No picture is shown in your question on the site, but one would imagine the sides are folded bent upward at x from the each side, leaving 16-2x for a bottom width for this gutter. You then wish to have the cross section of 16-2x by 1x area be 24 SQUARE inches.

(8-x)x=12
8x-x^2=12
-x^2+8x=12
x^2-8x=-12

Factorable to

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