Question

A rancher has 800 feet of fencing to enclose two adjacent rectangular corrals.
Write the total area A of the corrals as a function of x.
What dimensions produce a maximum enclosed area?
x = __ft
y = __ft
Thanks

Answer 1

You probably have a field with 2 long sides and 3 shorter sides?

long side --- y
short side --- x
2y + 3x = 800
y = (800-3x)/2 = 400 - (3/2)x

area = xy
= x(400 - 3x/2) = 400x - (3/2)x^2

again, just like in your other post, find the vertex of this parabola
using the method that you learned.