Solve the Problem $6 \mathrm{mi}$ By $4 \mathrm{mi}$ Find an Equation for the Ellipse, Where

Multiple Choice

Solve the problem.
-An elliptical riding path is to be built on a rectangular piece of property that measures $6 \mathrm{mi}$ by $4 \mathrm{mi}$ . Find an equation for the ellipse, where $\mathrm{x}$ and $\mathrm{y}$ are measured in $\mathrm{mi}$ , if the path is to touch the center of the property line on all 4 sides.

A) $\frac{x^{2}}{4}+\frac{y^{2}}{9}=1$

B) $\frac{x^{2}}{9}+\frac{y^{2}}{4}=1$

C) $\frac{x^{2}}{4}+\frac{y^{2}}{36}=1$

D) $\frac{x^{2}}{36}+\frac{y^{2}}{4}=1$