document.write( "Question 1206410: The area of a rectangular cutting board is 330 square inches.The perimeter is 74 inches.What are the dimensions of the cutting board? inches by inches. \n" ); document.write( "
Algebra.Com's Answer #843859 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"A=330\" in^2\r
\n" ); document.write( "\n" ); document.write( "since \"A=L%2AW\", we have\r
\n" ); document.write( "\n" ); document.write( "\"L%2AW=330\"...solve for\"+L\"\r
\n" ); document.write( "\n" ); document.write( "\"L=330%2FW\".....eq.1\r
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\n" ); document.write( "\n" ); document.write( "\"P=74\" in\r
\n" ); document.write( "\n" ); document.write( "since \"P=2%28L%2BW%29\", we have\r
\n" ); document.write( "\n" ); document.write( "\"2%28L%2BW%29=74\"\r
\n" ); document.write( "\n" ); document.write( "\"L%2BW=74%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"L%2BW=37\".......solve for \"L\"\r
\n" ); document.write( "\n" ); document.write( "\"L=37-W\".......eq.2\r
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\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2 we have\r
\n" ); document.write( "\n" ); document.write( "\"330%2FW=37-W\".......solve for\"+W\"\r
\n" ); document.write( "\n" ); document.write( "\"330=37%2AW-W%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"W%5E2-37W%2B330=0\"....factor\r
\n" ); document.write( "\n" ); document.write( "\"%28W+-+22%29+%28W+-+15%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "=> \"W=22in\" or\"W=15in\"=>preferred for width\r
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\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"L=37in-W\".......eq.2, substitute \"W\"\r
\n" ); document.write( "\n" ); document.write( "\"L=37in-15in\"\r
\n" ); document.write( "\n" ); document.write( "\"L=22in\"\r
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\n" ); document.write( "\n" ); document.write( "answer: the dimensions of the cutting board are \"22in+\"by \"15in\"\r
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