
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 with side length $8$ cm, the paper is folded in half vertically and then horizontally, then cut along one of the vertical fold lines. Find the ratio of the perimeter of one of the newly formed smaller rectangles to the perimeter of the original unfolded square.

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