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1576729
18.07.2019 •
Mathematics
Afarmer wants to build a rectangular garden. he plans to use a side of the straight river for one side of the garden, so he will not place fencing along this side of the garden. he has 92 yards of fencing material. what is the maximum area that will be enclosed?
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Ответ:
92 = L + 2W
92 - 2W = L
Area(A) = Length(L) · Width(W)
= (92 - 2W) · (W)
= 92W - 2W²
To find maximum area, calculate the derivative and set it equal to zero.
dA/dW = 92 - 4W
0 = 92 - 4W
4W = 92
W = 23
Now, solve for Length: L = 92 - 2W
= 92 - 2(23)
= 92 - 46
= 46
Lastly, calculate the Area: A = L · W
= 46 · 46
= 2116
The maximum area is 2116 yd²
Ответ:
4/3
Step-by-step explanation: