
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 regular hexagon with an area of $144 \mathrm{~cm}^{2}$, all its diagonals were drawn. The hexagon thus "split" into several triangles and quadrilaterals.

a) Determine into how many parts the diagonals have divided the hexagon.

b) Determine the area of the regular hexagon formed by combining all the quadrilateral parts of the given hexagon.

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