document.write( "Question 1143074: 3. A man wishes to have a rectangular shaped garden in his backyard. He has 84 feet of fencing with which to enclose his garden. \r
\n" ); document.write( "\n" ); document.write( "a) Write an expression for the perimeter of the garden.\r
\n" ); document.write( "\n" ); document.write( "b) The area of the garden is A = l*w. Use the perimeter equation from part (a) to write the area in terms of just one variable.\r
\n" ); document.write( "\n" ); document.write( "c) Find the dimensions for the largest area garden he can have if he uses all the fencing.
\n" ); document.write( "

Algebra.Com's Answer #763838 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
a)
\n" ); document.write( "Let \"+W+\" = width
\n" ); document.write( "Let \"+L+\" = length
\n" ); document.write( "Let \"+P+\" = perimeter
\n" ); document.write( "--------------------------------
\n" ); document.write( "\"+2W+%2B+2L+=+84+\"
\n" ); document.write( "\"+P+=+2W+%2B+2L+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "b)
\n" ); document.write( "\"+A+=+L%2AW+\"
\n" ); document.write( "\"+2L+=+P+-+2W+\"
\n" ); document.write( "\"+2L+=+84+-+2W+\"
\n" ); document.write( "\"+L+=+42+-+W+\"
\n" ); document.write( "\"+A+=+W%2A%28+42+-+W+%29+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "c)
\n" ); document.write( "\"+A+=+-W%5E2+%2B+42W+\"
\n" ); document.write( "The maximum area is at:
\n" ); document.write( "\"+W%5Bmax%5D+=+-b%2F%282a%29+\"
\n" ); document.write( "where:
\n" ); document.write( "\"+a+=+-1+\"
\n" ); document.write( "\"+b+=+42+\"
\n" ); document.write( "\"+W%5Bmax%5D+=+-42%2F%282%2A%28-1%29%29+\"
\n" ); document.write( "\"+W%5Bmax%5D+=+21+\"
\n" ); document.write( "and
\n" ); document.write( "\"+A%5Bmax%5D+=+W%5Bmax%5D%2A%28+42+-+W%5Bmax%5D+%29+\"
\n" ); document.write( "\"+A%5Bmax%5D+=+21%2A%28+42+-+21+%29+\"
\n" ); document.write( "\"+A%5Bmax%5D+=+21%2A21+\"
\n" ); document.write( "For maximum area,
\n" ); document.write( "\"+W+=+21+\"
\n" ); document.write( "\"+L+=+21+\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );