
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
Consider a rectangle where the longer sides are each double the length of the shorter sides. Quarter circles are drawn on each corner of the rectangle using the shorter side as the radius. If the shorter side of the rectangle measures $2/\pi$, calculate the total perimeter of the region defined by these quarter circles.

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