SOLUTION: 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. Find the dimension for which the area of
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Question 819860: 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. Find the dimension for which the area of the garden is a maximum. Answer by ewatrrr(24785) (Show Source):
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
