
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
Paul needs to fence a rectangular garden whose length is twice its width and requires at least 500 square feet in area. What is the minimum length of the fence required to enclose the garden?

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