
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 "Nine Chapters on the Mathematical Art" is a famous ancient Chinese mathematics book. It describes an algorithm for calculating the area of a sector of a circle as "the diameter multiplied by the circumference divided by four," which is consistent with modern mathematical methods. Using this algorithm, solve the following problem: Given a sector of land with an arc length (circumference) of 20 meters and a diameter length (sum of the two radii) of 24 meters, find the area of the sector in square meters.

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