
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
A homeowner decides to secure their dog with a 10-foot rope to a rectangular shed that measures 20 feet in length and 10 feet in width. The dog is initially tied to the middle of the longer side of the shed. Later, the dog is tied 5 feet from one corner along the same side. Determine which setup offers the dog a larger area to move around and by how many square feet.
A) Setup 1, by 25π square feet
B) Setup 2, by 25π square feet
C) Setup 1, by 50π square feet
D) Setup 2, by 50π square feet

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