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  of the rectangle. 

 L + 2w = 80ft  0r L = (80ft-2w)

Find the dimension for which the area of the garden is a maximum. 

   |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   

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