Answer
$240$ feet
Work Step by Step
The pasture has a length and a width, so it will be assumed that it is rectangular.
Let
$x$ = the width of the pasture
Then
$2x$ = the length of the pasture
RECALL: The area of a rectangle is given by the formula
$A=(\text{length})(\text{width})$.
Substitute the given area into the formula above to have:
$\\115,200=(2x)(x)
\\115,200=2x^2
\\\frac{115200}{2}=x^2
\\57,600=x^2
\\\sqrt{57,600}=x
\\120\sqrt 2 = x$
Thus, the width of the pasture is $120\sqrt 2$ feet.
