An Elliptical Stained-Glass Insert Is to Be Fitted in a 6ft

Multiple Choice

An elliptical stained-glass insert is to be fitted in a 6ft by 4 ft rectangular opening (see figure) .Using the coordinate system shown, find an equation for the ellipse.

A) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1$
B) $\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 9 } = 1$
C) $\frac { x ^ { 2 } } { 3 } - \frac { y ^ { 2 } } { 2 } = 1$
D) $\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 4 } = 1$
E) $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 9 } = 1$