
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In an irregular hexagon $ABCDEF$, suppose angles $B$ and $D$ each measure $60^\circ$, and angles $A$, $C$, $E$, and $F$ each measure $120^\circ$. The sides of the hexagon satisfy $AB = CD = EF = 1$ unit, and $BC = DE = FA = 2$ units. Calculate the perimeter and the area of the hexagon.
A) \(7\) units
B) \(9\) units
C) \(11\) units
D) \(2\sqrt{3}\) square units
E) \(9\sqrt{3}\) units

Present the answer in LaTex format: \boxed{Your answer}
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