# A strange octagon

Geometry Level 5

ABCD is a square with a side length of $3 \sqrt{3}$. AED, DGC, AHB and BFC are equilateral triangles.
The area of the polygon IJKLMNOP is $a + b \sqrt{3}$, where $a$ and $b$ are rational numbers.
What is the value of $a+b$?

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