
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
Let $s$ be the length of the side of the smaller square. Calculate the ratio of the area of the larger square to the area of the smaller square if the perimeter of the larger square is $4$ times the perimeter of the smaller square.

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