
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
Manuel wants to secure his dog with a 10-foot rope to a square shed that is 20 feet on each side. In the first arrangement, the dog is tied to the middle of one side of the shed. In the second arrangement, the dog is tied 6 feet away from a corner of the shed. Determine which arrangement gives the dog a greater area to roam, and by how many square feet?
A) I, by 16π square feet
B) II, by 12π square feet
C) I, by 16π square feet
D) II, by 16π square feet

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