
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 square-based dog house has a side length of $1.2 \mathrm{~m}$. A dog is tied with a $3 \mathrm{~m}$ chain to the external wall of the dog house at a point $30 \mathrm{~cm}$ away from one of the corners, on the same side as the entrance. What is the area in which the dog can move?

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