
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
As shown in the diagram, in a square piece of paper with a side length of 15 cm, cutting is done at a $45^{\circ}$ angle from each vertex, starting 4 cm from the vertex, forming a smaller square in the center. The area of the smaller square is $\qquad$ (square centimeters).

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