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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