(a) Find a function that models the area A of the corral in terms of the width x of the corral.
I call with x the width, and with y the length
so I can write:
2(x+y) = 1900
x +y = 950,
y = 950 - x
A(x) = x (950 -x)
in order to answer to the second part, we have to compute the first derivative of A(x)
dA/ dx = 950 - 2x
then I set dA/dx = 0, and I find x =475, and y = 475.
width = 475 , length = 475
In other words the corral is a square whose side is equal to 475 feet
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