document.write( "Question 206983This question is from textbook Introductory Algebra
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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. \n" );
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Algebra.Com's Answer #156489 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |