document.write( "Question 206983This question is from textbook Introductory Algebra
\n" ); document.write( ": Please help...\r
\n" ); document.write( "\n" ); document.write( "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.
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Algebra.Com's Answer #156489 by checkley77(12844)\"\" \"About 
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dw=50 or w=50/d
\n" ); document.write( "2d+w=20
\n" ); document.write( "2d+50/d=20
\n" ); document.write( "(2d*d+50)/d=20
\n" ); document.write( "(2d^2+50)/d=20
\n" ); document.write( "2d^2+50=20d
\n" ); document.write( "2d^2-20d+50=0
\n" ); document.write( "2(d^2-10d+25)=0
\n" ); document.write( "2(d-5)(d-5)=0
\n" ); document.write( "d-5=0
\n" ); document.write( "d=5 for the depth measurement.
\n" ); document.write( "5w=50
\n" ); document.write( "w=50/5
\n" ); document.write( "w=10 for the width measurement.
\n" ); document.write( "Proof:
\n" ); document.write( "2*5+10=20
\n" ); document.write( "10+10=20
\n" ); document.write( "20=10
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