
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 rectangular box with dimensions 2w in length, w in width, and height h, is centered on a square sheet of wrapping paper with dimensions larger than the box. The corners of the wrapping paper need to be folded to meet at the center of the top of the box, point \(A\). Calculate the required area of the square sheet of wrapping paper.
A) \(4(w + h)^2\)
B) \(2(w^2 + h^2)\)
C) \(2(w + h)^2\)
D) \(w^2 + h^2\)

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