
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
Given a rectangular box with a square base of side length $w$ and height $h$, derive an expression for the area of a square sheet of wrapping paper that covers the box when folded to meet at the center of the top of the box, where each side of the base extends $x$ units beyond the box's height.

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