# Inscribed Ellipse in a Rhombus

Geometry Level 4

An ellipse is inscribed inside a rhombus (a parallelogram with equal sides). The ellipse is tangent to the rhombus at the midpoints of the four sides. Given that the semi-major axis of the ellipse is $$100$$ units and the semi-minor axis is of length $$40$$ units, then if the side length of the rhombus is $$A$$ and the acute angle of the rhombus is $$\theta$$ (measured in degrees), enter the value of $$A + \theta$$ correct to two decimal places.

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