
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
Piravena must make a trip that starts at city $A$, goes to $B$, then from $B$ to $C$, from $C$ to $D$, and finally returns to $A$. The cities ensure that route $ABCD$ creates a square. Each side of the square has a length of 2000 km. Piravena can travel either by bus, costing $\$0.20$ per kilometer or by airplane, with a $\$120$ booking fee plus $\$0.15$ per kilometer. Determine the total distance Piravena travels for her complete trip around the square.

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