
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 rectangular 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 midlines of the square sheet of paper. The four corners of the wrapping paper are to be folded up over the sides and brought together to meet at the center of the top of the box, point \( A \). The box has width \( w \), length \( l \) (where \( l \geq w \)), and height \( h \). What is the area of the sheet of wrapping paper?
A) \( (l + 2h)^2 \)
B) \( (w + 2h)^2 \)
C) \( w^2 + l^2 + 4h^2 \)
D) \( (w + l + h)^2 \)

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