
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
The length of a rectangle is 25% greater than its width. A straight cut, parallel to the shorter side, splits this rectangle into a square and a rectangular strip. By what percentage is the perimeter of the square greater than the perimeter of the strip?

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