
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
Luke now wants to fence a square piece of land of at least 625 square feet to have more space for his activities. What should the side of the square be if he wants to use the least amount of fencing?

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