document.write( "Question 195713: Hello,
\n" ); document.write( "Not sure if I chose the right catorgory but I need help with the following problem.\r
\n" ); document.write( "\n" ); document.write( "The area of a rectangle is 55 square meters. Find the length and width of the rectangle if its length is 6 meters greater than its width. Use an equation and the formula for area of a rectangle A = l × w \r
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "
Algebra.Com's Answer #146768 by ankor@dixie-net.com(22740)\"\" \"About 
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The area of a rectangle is 55 square meters. Find the length and width of the rectangle if its length is 6 meters greater than its width. Use an equation and the formula for area of a rectangle A = l × w
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\n" ); document.write( "It says,\"if its length is 6 meters greater than its width.\", therefore:
\n" ); document.write( "l = w + 6
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\n" ); document.write( "Substitute (w+6) for l in the: l * w = 55
\n" ); document.write( "(w+6) * w = 55
\n" ); document.write( "w^2 + 6w = 55
\n" ); document.write( "w^2 + 6w - 55 = 0; a quadratic equation
\n" ); document.write( "Factor this to:
\n" ); document.write( "(w - 5)(w + 11) = 0
\n" ); document.write( "Positive solution is what we want here:
\n" ); document.write( "w = 5 m is the width
\n" ); document.write( "then
\n" ); document.write( "5 + 6 = 11 m is the length
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\n" ); document.write( "Check solution: 11 * 5 = 55 sq/m \n" ); document.write( "
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