SOLUTION: 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.

Algebra ->  Trigonometry-basics -> SOLUTION: 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.      Log On


   



Question 1136188: 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 by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.

You are given that the semi-axes are 10/2 = 5 mi and 4/2=2 mi.


Hence, the equation is


    x%5E2%2F25 + y%5E2%2F4 = 1,   or


    x%5E2%2F4 + y%5E2%2F25 = 1.

Answered and completed.