document.write( "Question 455939: The length of a rectangle is 3m less than twice its width, and the area of the rectangle is 27m^2. Find the dimensions of the rectangle.\r
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Algebra.Com's Answer #312983 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "the area of the rectangle is \"A=L%2AW\"\r
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\n" ); document.write( "\n" ); document.write( "The length \"L\" is 3m less than twice its width \"W\": \"L%2B3m=2W\"...->...\"L=2W-3m\"\r
\n" ); document.write( "\n" ); document.write( "\"A=L%2AW\"\r
\n" ); document.write( "\n" ); document.write( "\"27m%5E2=%282W-3m%29%2AW\"\r
\n" ); document.write( "\n" ); document.write( "\"27m%5E2=2W%5E2-3m%2AW\"\r
\n" ); document.write( "\n" ); document.write( "\"2W%5E2-3Wm-27m%5E2=0\"....use quadratic formula\r
\n" ); document.write( "\n" ); document.write( "\"W+=+%28-%28-3m%29+%2B-+sqrt%28+%28-3m%29%5E2-4%2A2%2A%28-27m%5E2%29+%29%29%2F%282%2A2%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"W+=+%283m+%2B-+sqrt%28+9m%5E2%2B216m%5E2%29+%29%29%2F4+\"\r
\n" ); document.write( "\n" ); document.write( "\"W+=+%283m+%2B-+sqrt%28+225m%5E2%29+%29%29%2F4+\"\r
\n" ); document.write( "\n" ); document.write( "\"W+=+%283m+%2B-+15m+%29%29%2F4+\"...you need only positive root because width cannot be negative\r
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\n" ); document.write( "\n" ); document.write( "\"W+=+%283m+%2B+15m+%29%2F4+\"\r
\n" ); document.write( "\n" ); document.write( "\"W+=+%2818m+%29%2F4+\"\r
\n" ); document.write( "\n" ); document.write( "\"W+=+4.5m++\"......now find the \"L\"\r
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\n" ); document.write( "\n" ); document.write( "\"L=2%2A4.5m+-3m\"\r
\n" ); document.write( "\n" ); document.write( "\"L=9m+-3m\"\r
\n" ); document.write( "\n" ); document.write( "\"L=6m\"\r
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