SOLUTION: A farmer plans to use 220 feet of fencing and a side of her barn to enclose a rectangular garden​. What dimensions of the rectangle would give the maximum​ area? What i
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Question 1082491: A farmer plans to use 220 feet of fencing and a side of her barn to enclose a rectangular garden. What dimensions of the rectangle would give the maximum area? What is that area? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = the length of a side that
is perpendicular to the barn
The sides will be: , , and
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The area of the rectangular garden is:
The plot of this is a parabola. It has the form: ( )
The formula for the x-coordinate of the
vertex ( maximum in this case ) is:
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Plug this result back into equation.
The maximum area is 6050 ft2
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check:
The sides are:
so:
and
The total length of fence is:
OK
