
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
Given a square piece of paper, 6 inches on a side, is folded in half horizontally and a single vertical cut is made from the fold down to the opposite edge of the paper, find the ratio of the perimeter of one of the smaller rectangles to the perimeter of the large rectangle.

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