# Ellipse's Circumscribed Perimeter

Geometry Level 5

Around an ellipse of eccentricity $e = 0.85$ circumscribe a quadrilateral with minimum perimeter and vertices on the major and minor axes of the ellipse.

If the area of the ellipse is $A_1$ and the area of the quadrilateral is $A_2$, find $\dfrac{A_1}{A_2}\times 100$.

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