
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
An equilateral triangle and a regular hexagon are such that the perimeter of the triangle is half the perimeter of the hexagon. If the area of the triangle is 9, what is the area of the hexagon?
**A)** 36
**B)** 42
**C)** 54
**D)** 63
**E)** 72

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