document.write( "Question 1048872: If a farmer had 40 meters of fencing and he plans to use it to make a rectangle cow pen.what is all the possible lengths and breadths he could choose - keeping to a whole number of metres.
\n" ); document.write( "Which possibility gives the farmer the greatest area? \n" ); document.write( "

Algebra.Com's Answer #664555 by Fombitz(32388) $\"\"$ $\"About$

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So you know that the perimeter of the rectangle has to equal the amount of fencing,
\n" ); document.write( " $\"2W%2B2L=40\"$
\n" ); document.write( " $\"W%2BL=20\"$
\n" ); document.write( "and you know that the area of a rectangle is,
\n" ); document.write( " $\"A=W%2AL\"$
\n" ); document.write( "So set up a procedure to create a list of values, choose $\"W\"$ , solve for $\"L\"$ , calculate the area, $\"A\"$ .
\n" ); document.write( "You know that $\"W\"$ and $\"L\"$ have to be non-zero and whole numbers so,
\n" ); document.write( " $\"W=1\"$
\n" ); document.write( " $\"1%2BL=20\"$
\n" ); document.write( " $\"L=19\"$
\n" ); document.write( " $\"A=1%2A19=19\"$
\n" ); document.write( " $\"W=1\"$ , $\"L=19\"$ , $\"A=19\"$
\n" ); document.write( "Now increment $\"W\"$ .
\n" ); document.write( " $\"W=2\"$
\n" ); document.write( " $\"2%2BL=20\"$
\n" ); document.write( " $\"L=18\"$
\n" ); document.write( " $\"A=2%2A18=36\"$
\n" ); document.write( " $\"W=2\"$ , $\"L=18\"$ , $\"A=36\"$
\n" ); document.write( "Incremenet again,
\n" ); document.write( " $\"W=3\"$
\n" ); document.write( " $\"3%2BL=20\"$
\n" ); document.write( " $\"L=17\"$
\n" ); document.write( " $\"A=3%2A17=51\"$
\n" ); document.write( " $\"W=3\"$ , $\"L=17\"$ , $\"A=51\"$
\n" ); document.write( "Continue this way until you cannot (eventually $\"L=0\"$ will signal it's time to stop).
\n" ); document.write( " \n" ); document.write( "

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