document.write( "Question 29496: the perimeter of a rectangle is 32m and the area of the rectangle is 55m squared. Find the dimensions of the rectangle \n" ); document.write( "
Algebra.Com's Answer #327509 by cleomenius(959)\"\" \"About 
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I set up 2 equations\r
\n" ); document.write( "\n" ); document.write( "2L + 2W = 32 or L + W = 16 (equation 1)\r
\n" ); document.write( "\n" ); document.write( "L * W = 55\r
\n" ); document.write( "\n" ); document.write( "Next, I set the second equation to L\r
\n" ); document.write( "\n" ); document.write( "L = 55 / W\r
\n" ); document.write( "\n" ); document.write( "I substituted this for L in equation 1.\r
\n" ); document.write( "\n" ); document.write( "55/W + W = 16\r
\n" ); document.write( "\n" ); document.write( "Multiply all by W\r
\n" ); document.write( "\n" ); document.write( "55 + W^2 = 16W or W^2 -16W + 55 = 0\r
\n" ); document.write( "\n" ); document.write( "Which factors to ( W - 5) ( W - 11)
\n" ); document.write( "So, we obtain W = 5, W = 11.\r
\n" ); document.write( "\n" ); document.write( "Checking 5 in first equation, 2L + 10 = 32
\n" ); document.write( "2L = 22
\n" ); document.write( "L = 11.\r
\n" ); document.write( "\n" ); document.write( "Substituting 5 * 11 into the second equation, we obtain 55.\r
\n" ); document.write( "\n" ); document.write( "Therefore, we check.\r
\n" ); document.write( "\n" ); document.write( "Cleomenius. \r
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