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If 400 feet of fencing is used to enclose a rectangular plot of land that borders a river, what is the maximum area that can be enclosed? answer to the nearest square foot without commas. for example, if the answer is 1,000, write 1000.

Respuesta :

Answer:

20000

Step-by-step explanation:

Since the fencing borders a river we know the formula for the perimeter is P=L+2w

400=L+2w

L=400-2w


Plug this into the area

A=Lw

A=w(400-2w)

A=400w-2w^2

A'=-4w+400

set the derivative to 0

-4w+400=0

w=100

A=100(400-2(100))

A=20000

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