
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 has an area of \( 9\sqrt{3} \). A rectangle has the same width as the side of the triangle. The length of the rectangle is triple the width. What is the area of the rectangle?

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