
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 piece of paper, 6 inches on a side, is folded in half horizontally and cut in half parallel to the fold, resulting in three rectangles. Find the ratio of the perimeter of the smaller rectangle to the perimeter of the larger rectangle, which consists of two layers still joined along the fold.

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