
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
Suppose we have a square piece of paper, 6 inches on each side, folded in half horizontally. The paper is then cut along the fold, and one of the halves is subsequently cut again horizontally through all layers. This results in one large rectangle and two smaller identical rectangles. Find the ratio of the perimeter of one smaller rectangle to the perimeter of the larger rectangle.
A) $\dfrac{1}{2}$
B) $\dfrac{2}{3}$
C) $\dfrac{3}{4}$
D) $\dfrac{4}{5}$
E) $\dfrac{5}{6}$

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