document.write( "Question 960228: Lora Wallman wishes to fence in a rectangular region along a river bank with only 3 sides. If she has only 400 feet of fencing and wishes to enclose an area of 15,000 sq feet, find the dimensions of the rectangular region. \n" ); document.write( "

Algebra.Com's Answer #586925 by Fombitz(32388) $\"\"$ $\"About$

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Let the regions dimensions be L and W.
\n" ); document.write( "The area of the region is,
\n" ); document.write( " $\"L%2AW=15000\"$
\n" ); document.write( "and the amount of fencing used is,
\n" ); document.write( " $\"W%2BL%2BW=400\"$
\n" ); document.write( " $\"2W%2BL=400\"$
\n" ); document.write( " $\"L=400-2W\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"%28400-2W%29W=15000\"$
\n" ); document.write( " $\"-2W%5E2%2B400W=15000\"$
\n" ); document.write( " $\"W%5E2-200W%2B7500=0\"$
\n" ); document.write( " $\"%28W-50%29%28W-150%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"W-50=0\"$
\n" ); document.write( " $\"W=50\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"L=400-2%2850%29\"$
\n" ); document.write( " $\"L=400-100\"$
\n" ); document.write( " $\"L=300\"$
\n" ); document.write( "50Wx300L
\n" ); document.write( "and
\n" ); document.write( " $\"W-150=0\"$
\n" ); document.write( " $\"W=150\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"L=400-2%28150%29\"$
\n" ); document.write( " $\"L=400-300\"$
\n" ); document.write( " $\"L=100\"$
\n" ); document.write( "150Wx100L
\n" ); document.write( " \n" ); document.write( "

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