
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
There are two natural ways to inscribe a square in a given isosceles right triangle. If it is done as in the first configuration, the area of the square is \(484 \text{cm}^2\). What is the area of the square inscribed in the same isosceles right triangle as shown in the second configuration?

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