# Hexagon

Geometry Level pending

Equilateral triangle has sides length of $$1$$. Squares $$ABDE$$, $$BCHI$$, $$CAFG$$ lie outside the triangle and on its sides. The area of hexagon $$DEFGHI$$ is in the form $$a+\sqrt{b}$$ where $$a$$ and $$b$$ are positive integers. Find $$a+b$$.

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