Question

An elliptical riding path is to be built on a rectangular piece of property as shown below

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

@ganeshie8 @mathstudent55 @ash2326

Answer 2

@ninjasandtigers Do you know how to write equation of an ellipse?

Answer 3

\[\frac{ x^{2} }{ a^{2} }+\frac{ y^{2} }{b^{2}}=1\]

Answer 4

Yes, it's right, can you tell what's a and b given in the question?

Answer 5

5 and 2?

Answer 6

yes, correct. Just plugin these in the equation and you will have your equation

Answer 7

a is 5 and b is 2
or
b is 5 and a is 2

Answer 8

under the term x^2 is a, a is half length of rectangle.
b is half breadth of rectangle

Answer 9

\[\frac{ x^{2} }{ 5^{2} }+\frac{ y^{2} }{ 2^{2} }=1\]

Answer 10

is that correct?

Answer 11

yes sir!!