
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
The approximate perimeter of a particular ellipse is 18 cm. The ellipse's semi-major axis is 4 cm longer than the semi-minor axis. In square centimeters, what is the area of the ellipse? Express your answer in terms of $\pi$.

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