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You have 68 feet of fencing to enclose a rectangular plot that borders on a river. If you DO NOT fence the side
along the river, find the dimensions of the plot that will maximize the area.


Sagot :

Answer:

168 = L + 2W

And you want to maximize LW.

Which means you want to maximize W (168 - 2W), or 168W - 2W^2.

To maximize that, the derivative must go to zero.

0 = 168 - 4W, or W = 42. And L = 84. Done. :-)

Step-by-step explanation: