
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
Patricia has a rectangular painting that she wishes to frame. The frame must also be rectangular and will extend  $3\text{ cm}$  outward from each of the four sides of the painting. When the painting is framed, the area of the frame not covered by the painting is  $108\text{ cm}^2$ . What is the perimeter of the painting alone (without the frame)?

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