SOLUTION: A gardener is fencing off a rectangular area with a fixed perimeter of 44 ft. What is the maximum area?
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Question 908547: A gardener is fencing off a rectangular area with a fixed perimeter of 44 ft. What is the maximum area?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A gardener is fencing off a rectangular area with a fixed perimeter of 44 ft. What is the maximum area?
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let x=width
length=44-2x
area=x(44-2x)
=-4x^2+44x
complete the square:
-4(x^2-11x+121/4)+121
-4(x-11/2)^2+121
This is an equation of a parabola that opens upward with vertex at(11/2,121)
maximum area=121 sq ft
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