document.write( "Question 829718: A rectangular field will be fenced on all four sides. Fencing for the north and south sides costs $9 per foot and fencing for the other two sides costs $8 per foot. What is the maximum area that can be enclosed for $4800? \n" ); document.write( "
Algebra.Com's Answer #500063 by josmiceli(19441)\"\" \"About 
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Let \"+A+\" = area of the field
\n" ); document.write( "Let \"+L+\" = length of the field
\n" ); document.write( "Let \"+W+\" = the width of the field
\n" ); document.write( "\"+A+=+L%2AW+\"
\n" ); document.write( "\"+4800+=+2%2A9%2AL+%2B+2%2A8%2AW+\"
\n" ); document.write( "\"+4800+=+18L+%2B+16W+\"
\n" ); document.write( "----------------------
\n" ); document.write( "I can say;
\n" ); document.write( "\"+L+=+A%2FW+\"
\n" ); document.write( "and substitute
\n" ); document.write( "\"+4800+=+18%2A%28+A%2FW+%29+%2B+16W+\"
\n" ); document.write( "Multiply both sides by \"+W+\"
\n" ); document.write( "\"+4800W+=+18A+%2B+16W%5E2+\"
\n" ); document.write( "\"+18A+=+-16W%5E2+%2B+4800W+\"
\n" ); document.write( "\"+A+=+%28-8%2F9%29%2AW%5E2+%2B+%28+2400%2F9+%29%2AW+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "This is a parabola with a maximum at \"+W%5Bmax%5D+=+-b%2F%282a%29+\" where
\n" ); document.write( "\"+a+=+-8%2F9+\"
\n" ); document.write( "\"+b+=+800%2F3+\"
\n" ); document.write( "\"+W%5Bmax%5D+=+-%28+2400%2F9+%29+%2F+%28+2%2A%28+-8%2F9+%29+%29+\"
\n" ); document.write( "\"+W%5Bmax%5D+=+2400%2F16+\"
\n" ); document.write( "\"+W%5Bmax%5D+=+150+\"
\n" ); document.write( "and since
\n" ); document.write( "\"+A%5Bmax%5D+=+%28-8%2F9%29%2AW%5E2+%2B+%28+2400%2F9+%29%2AW+\"
\n" ); document.write( "\"+A%5Bmax%5D+=+%28-8%2F9%29%2A150%5E2+%2B+%28+2400%2F9+%29%2A150+\"
\n" ); document.write( "\"+A%5Bmax%5D+=+%28-8%2F9%29%2A22500+%2B+40000+\"
\n" ); document.write( "\"+A%5Bmax%5D+=+-20000+%2B+40000+\"
\n" ); document.write( "\"+A%5Bmax%5D+=+20000+\" ft2
\n" ); document.write( "check answer:
\n" ); document.write( "\"+4800+=+18L+%2B+16W+\"
\n" ); document.write( "\"+4800+=+18L+%2B+16%2A150+\"
\n" ); document.write( "\"+4800+=+18L+%2B+2400+\"
\n" ); document.write( "\"+18L+=+2400+\"
\n" ); document.write( "\"+L%5Bmax%5D+=+133.333+\"
\n" ); document.write( "\"+A%5Bmax%5D+=+W%5Bmax%5D%2AL%5Bmax%5D+\"
\n" ); document.write( "\"+A%5Bmax%5D+=+150%2A133.333+\"
\n" ); document.write( "\"+A%5Bmax%5D+=+19999.95+\"
\n" ); document.write( "The error is due to rounding off\r
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