
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 rectangular box with dimensions \( l \) (length), \( w \) (width), and \( h \) (height) is to be wrapped with a rectangular sheet of wrapping paper. The box is centered on the wrapping paper with the longest sides of the base (length \( l \)) parallel and equidistant to the longer sides of the wrapping paper, and the shorter sides (width \( w \)) parallel and equidistant to the shorter sides of the wrapping paper. The four corners of the wrapping paper are to be folded up and brought together at the center top of the box, point \( A \). What is the area of the necessary rectangular sheet of wrapping paper?
**A)** \( lw + 2lh + 2wh + 4h^2 \)  
**B)** \( lw + lh + wh + 2h^2 \)  
**C)** \( lw + lh + 2wh + 3h^2 \)  
**D)** \( 2(lw + lh + wh + h^2) \)

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