
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
In the provided scenario, a smaller square has a perimeter of $8$ cm, and a larger square has an area of $36$ $\text{cm}^2$.  Calculate the distance from point $C$ to point $D$, where $C$ and $D$ are the top left corner of the smaller square and the bottom right corner of the larger square, respectively.

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