
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
A small square is entirely contained in a larger square. The side length of the small square is 4 units and the side length of the larger square is 9 units. The small square is positioned such that one of its corners coincides with the center of the larger square. What is the area of the shaded region outside the smaller square but inside the larger square?

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