# 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.

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