
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 the diagram, \( ABCDHEFG \) is a truncated square-based pyramid. Particularly:
- \(ABCD\) is a square with a side length of 7
- \(EFGH\) is a square with a side length of 1
- \(AE = BF = CG = DH\)
- Each of the four trapezoidal faces is partially shaded, where only the region that is below both diagonals is unshaded.

If the height of the truncated pyramid is 4, what is the total shaded area?

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