
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 rectangular piece of paper, 6 inches by 8 inches, is folded in half horizontally. Both layers are then cut in half perpendicular to the fold. Three new rectangles are formed, a large one and two small ones. Calculate the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle.

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