
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
Three identical square sheets of paper, each with a side length of 7, are stacked on top of each other. The bottom sheet remains unrotated, the middle sheet is rotated 45° clockwise, and the top sheet is rotated 75° clockwise. We need to determine the area of the resulting intersection polygon formed by this configuration.
A) \( 73 + 30\sqrt{2} \)
B) \( 49\sqrt{3} \)
C) \( 75 \)
D) \( 98\sqrt{2} \)
E) \( 56\sqrt{3} \)

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