
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 larger square $Q_1$ has an area of 81. Each side of this square $Q_1$ is trisected, and a smaller square $Q_2$ is created using points one-third and two-thirds along each side of $Q_1$ from each vertex. What is the area of square $Q_2$?
A) $6$
B) $9$
C) $12$
D) $18$
E) $27$

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