
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

Petr had a rectangle with a width of $2 \mathrm{~cm}$ and an unknown length. Radka had a rectangle with a width of $2 \mathrm{~cm}$, whose length was equal to the perimeter of Petr's rectangle. When they placed their rectangles together by their widths, they obtained a new rectangle with a perimeter of $63 \mathrm{~cm}$.

Determine the area of Petr's rectangle.

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