document.write( "Question 103664: The perimeter of a rectangle is 22cm and its area is 24 square cm. \r
\n" ); document.write( "\n" ); document.write( "What are the lengths of its sides?
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Algebra.Com's Answer #75364 by Fombitz(32388)\"\" \"About 
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L-length of the rectangle
\n" ); document.write( "W-width of the rectangle
\n" ); document.write( "P-perimeter of the rectangle
\n" ); document.write( "A-area of the rectangle
\n" ); document.write( "\"P=2L%2B2W=22\" Perimeter equation.
\n" ); document.write( "\"A=L%2AW=24\" Area equation.
\n" ); document.write( "\"L%2AW=24\"
\n" ); document.write( "\"L=24%2FW\"Find L as a function of W.
\n" ); document.write( "\"2L%2B2W=22\"
\n" ); document.write( "\"2%2824%2FW%29%2B2W=22\"Plug the value in the perimeter equation.
\n" ); document.write( "\"48%2FW%2B2W=22\"
\n" ); document.write( "\"48%2B2W%5E2=22W\"
\n" ); document.write( "\"2W%5E2-22W%2B48=0\"
\n" ); document.write( "\"W%5E2-11W%2B24=0\"Quadratic equation.
\n" ); document.write( "\"%28W-3%29%28W-8%29=0\"Factor the equation.
\n" ); document.write( "W=3 and W=8
\n" ); document.write( "When W=3, then
\n" ); document.write( "L=24/W=24/3=8
\n" ); document.write( "When W=8, then
\n" ); document.write( "L=24/W=24/8=3
\n" ); document.write( "Your two solutions are
\n" ); document.write( "W=3 cm, L=8 cm and W=8 cm, L=3 cm
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