# A geometry problem by Dexter Woo Teng Koon

Geometry Level 5

The points $$A$$,$$B$$,$$C$$ and $$D$$ are the centers of the circles as shown above. The line $$EF$$ is the tangent line to the 2 big circles. $$CA=AB=BD$$. Line $$CD$$ is parallel to line $$EF$$.

If the area of the blue section is 1, find the area of the red section.