Area Of An Irregular Pentagon

Geometry Level 4

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

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


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