document.write( "Question 645343: The perimiter of a rectangle is 30m.
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document.write( "It's area is 56m2.
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document.write( "What is its length?
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Algebra.Com's Answer #405501 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The perimeter of a rectangle is 30m. \n" ); document.write( "2L + 2W = 30 \n" ); document.write( "Simplify, divide by 2 \n" ); document.write( "L + W = 15 \n" ); document.write( "W = (15-L) \n" ); document.write( ": \n" ); document.write( "It's area is 56m2. \n" ); document.write( "L*W = 56 \n" ); document.write( "Replace W with (15-L) \n" ); document.write( "L(15-L) = 56 \n" ); document.write( "15L - L^2 = 56 \n" ); document.write( "Form a quadratic equation on the right \n" ); document.write( "0 = L^2 - 15L + 56 \n" ); document.write( "Factors to \n" ); document.write( "(L-7)(L-8) = 56 \n" ); document.write( "Two solutions \n" ); document.write( "L = 7; then W = 8 \n" ); document.write( "L = 8; then W = 7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |