
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 carpenter took a wooden square and cut 4 smaller equal squares from it, each with an area of $9\%$ of the area of the large square. The remaining area of the original square was $256 \mathrm{~cm}^{2}$. Find the side length of the original square in centimeters.

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