Area Of An Irregular Pentagon

Geometry Level 4

Let $ABCDE$ be a convex pentagon with $\angle ABC= \angle BCD = 120^\circ$ and $[ABC]=[BCD]=[CDE]=[DEA]=[EAB]=12$ . Evaluate $[ABCDE]$ to 1 decimal place.

Details:
Notation: $[ PQRS ]$ denotes the area of the figure $PQRS$ .
You may need to use a calculator to evaluate the area.