document.write( "Question 127206This question is from textbook Introductory Algebra
\n" ); document.write( ": I have one more problem that is stumping me. It reads: An open rectangular gutter is made by turning up the sides of a piece of metal 20 in. wide. The area of the cross-section of the gutter is 50in^2. Find the depth of the gutter. Any help on this one would be greatly appreciated!!! \n" ); document.write( "
Algebra.Com's Answer #93173 by Earlsdon(6294)\"\" \"About 
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Let the sides of the rectangular gutter be D (for depth) and the length be L.
\n" ); document.write( "From the description we have:
\n" ); document.write( "1) 2D+L = 20 and...
\n" ); document.write( "2) D*L = 50
\n" ); document.write( "Rewrite equation 1) as L = 20-2D and substitute into equation 2).
\n" ); document.write( "\"D%2820-2D%29+=+50\" Simplify.
\n" ); document.write( "\"20D-2D%5E2+=+50\" Subtract 50 from both sides.
\n" ); document.write( "\"20D-2D%5E2-50+=+0\" Divide by -2 to ease calculations.
\n" ); document.write( "\"D%5E2-10D%2B25+=+0\" Solve by factoring.
\n" ); document.write( "\"%28D-5%29%28D-5%29+=+0\"
\n" ); document.write( "So, D = 5
\n" ); document.write( "The depth is 5 inches and the length is (20-2(5)) = 10 inches.
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