
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
Regions I, II, III, and IV are bounded by squares. The perimeter of region I is 16 units, the perimeter of region II is 36 units, and the perimeter of region III and IV is 48 units each. What is the ratio of the area of region II to region IV? Express your answer as a common fraction.

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