
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 New Perfectville, the streets are all $30$ feet wide, and each block encloses a square with side length $500$ feet. If Sarah runs around the block on the $500$-foot side of the street and Sam runs on the street just opposite, calculate how many more feet than Sarah does Sam run for every lap around the block.

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