An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides
A) $\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 9 } = 1$
B) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 25 } = 1$
C) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 100 } = 1$
D) $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 6 } = 1$

Question

An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides 
A) $\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 9 } = 1$ 
B) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 25 } = 1$ 
C) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 100 } = 1$ 
D) $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 6 } = 1$

Quizplus · Accepted Answer

The Answer of An elliptical riding path is to be built on a rectangular piece of property that measures 10 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides 
A) $\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 9 } = 1$ 
B) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 25 } = 1$ 
C) $\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 100 } = 1$ 
D) $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 6 } = 1$

An Elliptical Riding Path Is to Be Built on a Rectangular