
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, and within this fenced land, create another smaller square plot such that the side length of this smaller plot is half the length of the larger square. Determine the side length of the larger square to minimize the amount of fencing used.

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