document.write( "Question 257489: you have 80 feet of fencing to enclose a rectangular region. what is the maximum area? \n" ); document.write( "
Algebra.Com's Answer #189413 by drk(1908)\"\" \"About 
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The perimeter is
\n" ); document.write( "P = 2L + 2W or
\n" ); document.write( "80 = 2L + 2W
\n" ); document.write( "dividing by 2 we get
\n" ); document.write( "(i) 40 = L + W
\n" ); document.write( "THe area is
\n" ); document.write( "(ii) A = LW
\n" ); document.write( "solving (i) for L, we get
\n" ); document.write( " (iii) L = 40-W
\n" ); document.write( "substituting that in (ii), we get
\n" ); document.write( "(iv) A = (40-W)(W)
\n" ); document.write( "using completing the square, we get
\n" ); document.write( "A = -(W-20)^2 + 400
\n" ); document.write( "So, when W = 20, the max area is 400.
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