
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
Given that an angle of a triangle remains unchanged, one of its enclosing sides is tripled and the other side is doubled, determine the multiplication factor of the area of the triangle.

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