Mathematics: Arectangular pen is built with one side against a barn. two hundred meters of fencing are used for the other three sides of the pen. what dimensions maximize the area of the pen?

Arectangular pen is built with one side against

sabrinabowers4308

13.03.2022

Let's call the repeated side of the barn . Then the remaining fence for the other side is 200-2x so the area is

A = x(200-2x) = -2x^2+200x = -2(x^2-100x)=-2(x^2-100x+2500)- -2(2500) = -2(x-50)^2+5000

That clearly has a maximum at x=50, so 50 by 100 for the maximal area.

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Cinic21

02.04.2021

(-3, -6)

Step-by-step explanation:

always start from the origin! Hope this helps!

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