
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
Given a rectangle has a length of 6 and a width of 4, and 300 beans are scattered within the rectangle with 70 beans falling outside of an ellipse within the rectangle, estimate the approximate area of the ellipse.

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