document.write( "Question 1001543: The question is \"Ivan has 80 feet of fence to enclose a rectangular garden. What demensions for the garden give the maximum area?\" And I don't know how to solve it so help would be great! \n" ); document.write( "
Algebra.Com's Answer #618668 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
The question is \"Ivan has 80 feet of fence to enclose a rectangular garden. What demensions for the garden give the maximum area?\" And I don't know how to solve it so help would be great!
\n" ); document.write( "---------------
\n" ); document.write( "Max area for a rectangle is a square.
\n" ); document.write( "----
\n" ); document.write( "P = 2L + 2W = 80
\n" ); document.write( "L + W = 40
\n" ); document.write( "L = 40 - W
\n" ); document.write( "-------------
\n" ); document.write( "Area = W*L = W*(40-W)
\n" ); document.write( "Area = -W^2 + 40W
\n" ); document.write( "The max is the vertex, at W = -b/2a
\n" ); document.write( "W = -40/-2 = 20
\n" ); document.write( "L = 20
\n" ); document.write( "
\n" ); document.write( "
\n" );