
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
Let the diagonal of square $I$ be $3(a+b)$ where $a$ and $b$ are the lengths of sides of two smaller squares. If square $II$ is constructed such that its area is three times the area of square $I$, what is the area of square $II$?
A) $\frac{9(a+b)^2}{2}$
B) $\frac{27(a+b)^2}{2}$
C) $18(a+b)^2$
D) $27(a+b)^2$
E) $9(a+b)^2$

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