document.write( "Question 343889: A rectangular field with area 5000 meters^2 is enclosed by 300 meters of fencing. Find the dimensions of the field. \n" ); document.write( "

Algebra.Com's Answer #246018 by Fombitz(32388) $\"\"$ $\"About$

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The area of a rectangle is,
\n" ); document.write( "1. $\"A=L%2AW=5000\"$
\n" ); document.write( "The perimeter of a rectangle is,
\n" ); document.write( " $\"P=2L%2B2W=300\"$
\n" ); document.write( "2. $\"L%2BW=150\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"L=5000%2FW\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"5000%2FW%2BW=150\"$
\n" ); document.write( " $\"5000%2BW%5E2=150W\"$
\n" ); document.write( " $\"W%5E2-150W%2B5000=0\"$
\n" ); document.write( " $\"%28W-100%29%28W-50%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"W-100=0\"$
\n" ); document.write( " $\"W=100\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"L=5000%2FW=50\"$
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\n" ); document.write( " $\"W-50=0\"$
\n" ); document.write( " $\"W=50\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"L=5000%2F50=100\"$
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\n" ); document.write( "The field is 50m x 100m.
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