
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 closed box with a square base is to be wrapped with a square sheet of wrapping paper. The box is centered on the wrapping paper, with the vertices of the base lying on the quarter lines (each vertex is one-quarter of the way from the center to the edge) of the square sheet of paper. The four corners of the wrapping paper are to be folded upwards and brought together at a point $A$, which is directly above the center of the top of the box at a height equal to the height of the box, $h$. The box has a base length of $s$ and a height of $h$. Determine the area of the square sheet of wrapping paper.
A) $2s^2$
B) $3s^2$
C) $4s^2$
D) $5s^2$

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