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.

Question

Mathematics

Donna Spence

22 February, 14:50

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.

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Rodney Buck · 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