
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
An isosceles right triangle has a square inscribed in it as shown in one configuration, and the area of this square is given as $484 \text{cm}^2$. Determine the area of a differently inscribed square in the same triangle as per a second configuration.

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