
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 14-sided shape (tetrakaidecagon) is inscribed in a square so that the vertices of the tetrakaidecagon divide each side of the square into equal segments, and one vertex on each diagonal, trisecting the longest diagonal of the square. The perimeter of the square is 56 meters. What is the area of the tetrakaidecagon in square meters?

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