document.write( "Question 945801: A rectangular playground has a perimeter of 60 m and an area of 216 sq.m. Find the dimensions of the playground. \n" ); document.write( "

Algebra.Com's Answer #577176 by Fombitz(32388) $\"\"$ $\"About$

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$\"P=2%28L%2BW%29=60\"$
\n" ); document.write( "1. $\"L%2BW=30\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"A=L%2AW=216\"$
\n" ); document.write( "2. $\"L%2AW=216\"$
\n" ); document.write( "From 1,
\n" ); document.write( " $\"L%2BW=30\"$
\n" ); document.write( " $\"L=30-W\"$
\n" ); document.write( "Substitute into 2,
\n" ); document.write( " $\"%2830-W%29W=216\"$
\n" ); document.write( " $\"30W-W%5E2=216\"$
\n" ); document.write( " $\"W%5E2-30W%2B216=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28W-18%29%28W-12%29=0\"$
\n" ); document.write( " $\"W-18=0\"$
\n" ); document.write( " $\"W=18\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"L%2B18=30\"$
\n" ); document.write( " $\"L=12\"$
\n" ); document.write( "and
\n" ); document.write( " $\"W-12=0\"$
\n" ); document.write( " $\"W=12\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"L%2B12=30\"$
\n" ); document.write( " $\"L=18\"$
\n" ); document.write( "The playground is 18 x 12.
\n" ); document.write( " \n" ); document.write( "

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