
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 rectangular park measuring 15 cm by 45 cm has a walking path that cuts across from one corner to the opposite corner. A triangular flowerbed is formed between the path and two sides of the rectangle. Find the area of this triangular flowerbed and round your answer to the nearest square centimeter. Assume the shorter side adjacent to the flowerbed is one-third the length of the longer side.

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