A strange octagon

Geometry Level 5

ABCD is a square with a side length of 33 3 \sqrt{3} . AED, DGC, AHB and BFC are equilateral triangles.
The area of the polygon IJKLMNOP is a+b3a + b \sqrt{3} , where aa and bb are rational numbers.
What is the value of a+ba+b?

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