
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
Given that the dog is secured with an 8-foot rope to an 16 by 16 square shed, find the difference in area that the dog is allowed to roam in when the rope is attached in arrangement I versus arrangement II.

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