# 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.