
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
Four identical square sheets of paper each with side length $8$ are stacked on top of each other. The second sheet from the bottom is rotated clockwise $45^\circ$ about its center, the third sheet is rotated clockwise $90^\circ$ about its center, and the top sheet is rotated clockwise $135^\circ$ about its center. Additionally, a right triangle with legs of lengths $8$ and $8$ is placed centrally and rotated $180^\circ$ on top of these squares, resulting in a complex polygon. Calculate the area of this newly formed polygon.
- **A)** 192
- **B)** 248
- **C)** 288
- **D)** 320

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