document.write( "Question 661498: hello can you please help me solve,\" rectangular garden has a perimeter 66 ft and area 216 ftsquared. how can i find the dimensions of the garden.\" I know that P=2L +2W and Area= LxW can i do L times W = 216 ft squared and is L=2w so is it 2w times w = 216 AND THEN I AM STUCK...please help! \n" ); document.write( "
Algebra.Com's Answer #411650 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+P+=+2L+%2B+2W+\"
\n" ); document.write( "\"+66+=+2L+%2B+2W+\"
\n" ); document.write( "(1) \"+33+=+L+%2B+W+\" ft
\n" ); document.write( "and
\n" ); document.write( "\"+A+=+216+\" ft2
\n" ); document.write( "(2) \"+L%2AW+=+216+\"
\n" ); document.write( "------------------
\n" ); document.write( "(1) \"+W+=+33+-+L+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+L%2A%28+33+-+L+%29+=+216+\"
\n" ); document.write( "(2) \"+33L+-+L%5E2+=+216+\"
\n" ); document.write( "(2) \"+-L%5E2+%2B+33L+-+216+\"
\n" ); document.write( "Solve using the quadratic equation
\n" ); document.write( "\"+L+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+-1+\"
\n" ); document.write( "\"+b+=+33+\"
\n" ); document.write( "\"+c+=+-216+\"
\n" ); document.write( "\"+L+=+%28-33+%2B-+sqrt%28+33%5E2+-+4%2A%28-1%29%2A%28-216%29+%29%29+%2F+%282%2A%28-1%29%29+\"
\n" ); document.write( "\"+L+=+%28-33+%2B-+sqrt%28+1089+-+864+%29%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+L+=+%28-33+%2B-+sqrt%28+225+%29%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+L+=+%28-33+%2B+15%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+L+=+%28-18%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+L+=+9+\"
\n" ); document.write( "and
\n" ); document.write( "\"+L+=+%28-33+-+15%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+L+=+%28-48%29+%2F+%28-2%29+\"
\n" ); document.write( "\"+L+=+24+\"
\n" ); document.write( "Note that \"+9%2A24+=+216+\"
\n" ); document.write( "I'll say \"+L+=+24+\", and
\n" ); document.write( "(1) \"+33+=+L+%2B+W+\"
\n" ); document.write( "(1) \"+33+=+24+%2B+W+\"
\n" ); document.write( "(1) \"+W+=+9+\"
\n" ); document.write( "The width is 9' and the length is 24'\r
\n" ); document.write( "
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\n" ); document.write( "\n" ); document.write( "
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\n" );