
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
A regular hexagon and an equilateral triangle have perimeters in the ratio 2:1, with the hexagon having the larger perimeter. If the area of the triangle is 9, what is the area of the hexagon?
A) \( 24 \sqrt{3} \)  
B) \( 54 \)  
C) \( 36 \)  
D) \( 54 \sqrt{3} \)  
E) \( 72 \)

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