
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 with each side measuring 8 inches is folded in half horizontally, creating a rectangle. This rectangle is then cut parallel to the fold, but at one-third the distance from the bottom. Calculate the ratio of the perimeter of the resulting smaller rectangle to the perimeter of the larger rectangle created by the cut.

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