
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 the side length of the smaller square be $s$ and the side length of the larger square be $4s$. The ratio of the perimeter of the larger square to the perimeter of the smaller square is 4. Find the ratio of the area of the larger square to the area of the smaller square.

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