
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 square with a side length of 1 meter is divided into three rectangles with equal perimeters. What could these perimeters be? List all possible options and explain why there are no other possibilities.

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