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 \(a+b\)?
by
Marius Munteanu