
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
The perimeter of an equilateral triangle is $3a$. Find the area of the triangle.
**A)** $\frac{\sqrt{3}}{4} a^2$ \\
**B)** $\frac{1}{2} a^2$ \\
**C)** $\sqrt{3} a^2$ \\
**D)** $\frac{\sqrt{3}}{2} a^2$ \\
**E)** $3a^2$

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