# Horrible Hexagons 2

Geometry Level 3

The diagram above shows a regular hexagon with side length $$2$$ and two equilateral triangles inscribed in it.

The area of the shaded region can be written as $$\large \frac { a\sqrt { 3 } }{ b }$$, where $$a$$ and $$b$$ are coprime integers. Find $$ab$$.

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