Question 819860
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Hi,
A homeowner wants to fence a rectangular garden using 80 feet of fencing. 
The side of the garage will be used as one side {{{green(L)}}} of the rectangle. 
 L + 2w = 80ft  0r L = (80ft-2w)
Find the dimension for which the area of the garden is a maximum. 
{{{A = w(80-2w) = -2w^2 + 80w = -2(x-20)^2 + 800 }}}   |Completing the Square
A = -2(x-20)^2 + 800 , function describes a parabola opening downward V(20,80)
area of the garden is a maximum when:  w = 20ft and L = 40ft  {{{L = (80ft-2w)}}}