document.write( "Question 467901: An ecology center wants to set up an experimental garden using 300 m of fencing to enclose a rectangular area of 5000 m2(squared). Find the dimensions of the garden. \n" ); document.write( "
Algebra.Com's Answer #321070 by josmiceli(19441)\"\" \"About 
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Let the width of the garden = \"W\" m
\n" ); document.write( "Let the length of the garden = \"L\" m
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+W%2AL+=+5000+\" m2
\n" ); document.write( "(2) \"+2W+%2B+2L+=+300+\" m
\n" ); document.write( "---------------------
\n" ); document.write( "(2) \"+W+%2B+L+=+150+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+L+=+5000%2FW+\"
\n" ); document.write( "so, by substitution:
\n" ); document.write( "(2) \"+W+%2B+5000%2FW+=+150+\"
\n" ); document.write( "(2) \"+W%5E2+%2B+5000+=+150W+\"
\n" ); document.write( "(2) \"+W%5E2+-+150W+%2B+5000+=+0+\"
\n" ); document.write( "Use quadratic formula:
\n" ); document.write( "\"W+=+%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+=+-150+\"
\n" ); document.write( "\"+c+=+5000+\"
\n" ); document.write( "\"W+=+%28-%28-150%29+%2B-+sqrt%28+%28-150%29%5E2-4%2A1%2A5000+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"W+=+%28+150+%2B-+sqrt%28+22500+-+20000+%29%29%2F2+\"
\n" ); document.write( "\"W+=+%28+150+%2B-+sqrt%28+2500+%29%29%2F2+\"
\n" ); document.write( "\"W+=+%28+150+%2B-+50%29%2F2+\"
\n" ); document.write( "\"+W+=+75+%2B+25+\"
\n" ); document.write( "\"+W+=+100+\"
\n" ); document.write( "and
\n" ); document.write( "\"+W+=+75+-+25+\"
\n" ); document.write( "\"+W+=+50+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+W+%2B+L+=+150+\"
\n" ); document.write( "(2) \"+50+%2B+100+=+150+\"
\n" ); document.write( "The dimensions are 50 x 100 m2
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+W%2AL+=+5000+\" m2
\n" ); document.write( "(1) \"+50%2A100+=+5000+\"
\n" ); document.write( "(1) \"+5000+=+5000+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );