document.write( "Question 159731: Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40 square meters. \n" ); document.write( "

Algebra.Com's Answer #117776 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "First $\"P=2%28L%2BW%29\"$
\n" ); document.write( " $\"26=2%28L%2BW%29\"$ ------> $\"cross%2826%2913%2Fcross%282%29=cross%282%29%28L%2BW%29%2Fcross%282%29\"$
\n" ); document.write( " $\"L%2BW=13\"$
\n" ); document.write( " $\"L=13-W\"$ , EQN 1
\n" ); document.write( "And,
\n" ); document.write( " $\"A=L%2AW\"$ , substitute EQN 1
\n" ); document.write( " $\"40=%2813-W%29%28W%29\"$
\n" ); document.write( " $\"40=13W-W%5E2\"$
\n" ); document.write( " $\"W%5E2-13W%2B40=0\"$ , perfect square, can be factor out
\n" ); document.write( " $\"%28W-5%29%28W-8%29=0\"$
\n" ); document.write( "2 values, either,
\n" ); document.write( " $\"W%5B1%5D=5m\"$ , or $\"W%5B2%5D=8m\"$
\n" ); document.write( "Get $\"L\"$ via EQN 1:
\n" ); document.write( " $\"L%5B1%5D=13-W%5B1%5D=13-5=8m\"$ , and $\"L%5B2%5D=13-W%5B2%5D=13-8=5m\"$
\n" ); document.write( "Go back Perimeter and Area to check: use either $\"%28L%5B1%5D%29or%28L%5B2%5D%29\"$ or $\"%28W%5B1%5D%29or%28W%5B2%5D%29\"$
\n" ); document.write( "1) $\"P=2%28L%5B1%5D%2BW%5B1%5D%29\"$
\n" ); document.write( " $\"26m=2%288%2B5%29=2%2813%29\"$
\n" ); document.write( " $\"26m=26m\"$
\n" ); document.write( "2) $\"A=L%5B1%5D%2AW%5B1%5D\"$
\n" ); document.write( " $\"40m%5E2=%288m%29%285m%29\"$
\n" ); document.write( " $\"40m%5E2=40m%5E2\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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