Question

The rectangular piece of property measures 10 mi by 4 mi. find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.

Answer 1

let the center of this elipse be on the origin and let this elipse be horizontal.
major axis is 10 mi, minor axis is 4 mi
(x^2/5^2)+(y^2/2^2)=1
(x^2/25)+(y^2/4)=1
4x^2+25y^2=100