
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 has side $s$. First, it is folded in half vertically, then horizontally, resulting in four smaller rectangles of equal size. One of these rectangles is then cut along one horizontal half. Determine the ratio of the perimeter of one of the smallest divided rectangles to the original square.
A) $\frac{1}{4}$
B) $\frac{1}{3}$
C) $\frac{3}{8}$
D) $\frac{1}{2}$

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