
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 square inscribes Circle $III$ which in turn is tangent to Circle $IV$. Circle $III$ passes through the midpoint of Circle $IV$. The area of Circle $III$ is $9\pi / 4$ square inches. Find the area of the square.
A) $18$
B) $24$
C) $36$
D) $72$
E) $81$

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