1. The user requests problems that are more complex and high-definition (hd), avoiding simple shapes like squares and rectangles. 2. To meet this request, we can consider problems involving polygons with more sides, circles, ellipses, or 3D shapes like spheres and cones. 3. For example, a problem involving the area of an ellipse or the volume of a cone would be more complex than a square or rectangle. 4. Let's consider the problem: Find the area of an ellipse with semi-major axis $a$ and semi-minor axis $b$. 5. The formula for the area of an ellipse is $$\text{Area} = \pi a b$$ 6. This formula is derived from the integral calculus of the ellipse equation and is more complex than the area of a rectangle. 7. To solve, simply multiply $\pi$ by the lengths of the semi-major and semi-minor axes. 8. For example, if $a=5$ and $b=3$, then the area is $$\pi \times 5 \times 3 = 15\pi$$. 9. This approach provides a more advanced geometric problem as requested.