document.write( "Question 432784: She have 25 feet of fencing. If she wants to have the greatest area possible, how long should her garden be? How wie should it be? \n" ); document.write( "

Algebra.Com's Answer #300031 by josmiceli(19441) $\"\"$ $\"About$

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Let the length = $\"x\"$
\n" ); document.write( "The width is then $\"+%2825+-+2x%29%2F2+\"$
\n" ); document.write( " $\"+A+=+%28x%2F2%29%2A%2825+-+2x%29+\"$
\n" ); document.write( " $\"+A+=+-+x%5E2+%2B+12.5x+\"$
\n" ); document.write( "The peak (maximum area) occurs at $\"x+=++-b%2F%282a%29+\"$
\n" ); document.write( "where
\n" ); document.write( " $\"a+=+-1\"$
\n" ); document.write( " $\"b+=+12.5\"$
\n" ); document.write( " $\"-b%2F%282a%29+=+-12.5%2F%282%2A%28-1%29%29+\"$
\n" ); document.write( " $\"+x+=+6.25+\"$
\n" ); document.write( "The length should be 6.25
\n" ); document.write( "and
\n" ); document.write( " $\"+%2825+-+2x%29%2F2+=+%2825+-+12.25%29%2F2+\"$
\n" ); document.write( " $\"+12.5+%2F+2+=+6.25+\"$
\n" ); document.write( "The width should be 6.25
\n" ); document.write( "Note that $\"6.25%2A4+=+25\"$ and
\n" ); document.write( " $\"+A+=+6.25%5E2+\"$
\n" ); document.write( " $\"+A+=+39.0625+\"$
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-6%2C+16%2C+-10%2C+40%2C+-x%5E2+%2B+12.5x%29+\"$ \n" ); document.write( "

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