document.write( "Question 611354: please help me answer the following problem:\r
\n" ); document.write( "\n" ); document.write( "the length of a rectangle is 5cm greater than 3 times its width. the area of the rectangle is 22cm^2. find the length and the width of the rectangle.\r
\n" ); document.write( "\n" ); document.write( "thanks so much i don't know how o set it up and the steps for doing it!!!! thanks!!!
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Algebra.Com's Answer #384925 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"L\" = the length in cm
\n" ); document.write( "Let \"W\" = the width in cm
\n" ); document.write( "Let \"A\" = the area of the rectangle in cm2
\n" ); document.write( "-----------
\n" ); document.write( "given:
\n" ); document.write( "\"+L+=+3W+%2B+5+\"
\n" ); document.write( "\"+A+=+22+\" cm2
\n" ); document.write( "\"+A+=+L%2AW+\"
\n" ); document.write( "\"+A+=+%28+3W+%2B+5+%29%2AW+\"
\n" ); document.write( "\"+22+=+3W%5E2+%2B+5W+\"
\n" ); document.write( "\"+3W%5E2+%2B+5W+-+22+=+0+\"
\n" ); document.write( "--------------------
\n" ); document.write( "Use the quadratic formula
\n" ); document.write( "\"+W+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+3+\"
\n" ); document.write( "\"+b+=+5+\"
\n" ); document.write( "\"+c+=+-22+\"
\n" ); document.write( "\"+W+=+%28-5+%2B-+sqrt%28+5%5E2+-+4%2A3%2A%28-22%29+%29%29+%2F+%282%2A3%29+\"
\n" ); document.write( "\"+W+=+%28-5+%2B-+sqrt%28+25+%2B+264+%29%29+%2F+%282%2A3%29+\"
\n" ); document.write( "\"+W+=+%28-5+%2B-+sqrt%28+289+%29%29+%2F+6+\"
\n" ); document.write( "\"+W+=+%28-5+%2B+17+%29+%2F+6+\"
\n" ); document.write( "\"+W+=+12%2F6+\"
\n" ); document.write( "\"+W+=+2+\"
\n" ); document.write( "( ignore the negative root- can't have negative length )
\n" ); document.write( "and, since
\n" ); document.write( "\"+L+=+3W+%2B+5+\"
\n" ); document.write( "\"+L+=+3%2A2+%2B+5+\"
\n" ); document.write( "\"+L+=+6+%2B+5+\"
\n" ); document.write( "\"+L+=+11+\"
\n" ); document.write( "The length is 11 cm and the width is 2 cm
\n" ); document.write( "
\n" );