
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 a rectangular piece of paper with dimensions 4 units wide and 6 units high is folded in half horizontally. The folded paper is then cut in half along the fold. Three rectangles are formed - two small ones from the folded halves and a large one when considered unfolded. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle?
A) $\frac{1}{3}$
B) $\frac{1}{2}$
C) $\frac{2}{3}$
D) $\frac{3}{4}$
E) $\frac{4}{5}$

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