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arrazolokhaliapb8sc2
28.07.2019 •
Mathematics
The back of toms property is a creek. tom would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. if there is 860 feet of fencing available, what is the maximum possible area of the corral?
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Ответ:
To find the maximum area, we have to write an equation relating the different sides. For our shape, we will have 2 widths and 1 length that runs parallel to the creek.
Let the widths equal x. Then, the length would be 86 - 2x.
So the area of the shape is: A = x(860 - 2x)
This is a quadratic equation with a vertex at (215, 92450).
Therefore the width should be 215 to get the maximum area of 92,450 square feet.
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