
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
In a rectangular garden, a peach tree grows. This tree is 5 meters and 12 meters away from two neighboring corners of the garden, and the distance between these two corners is 13 meters. Additionally, we know that the peach tree stands on the diagonal of the garden. What could be the area of the garden?

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