
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
In a rectangular park with its length twice its width, Amelia walks around the perimeter of the rectangle to go from the southwest corner to the northeast corner. Ben takes a direct path by walking diagonally from the southwest corner to the northeast corner. Calculate the percentage difference in distance between Ben's direct path and Amelia's path.

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