
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 length $l$ and width $w$ and height $h$, is to be entirely wrapped with a rectangular piece of wrapping paper. The box is positioned so that its sides are parallel to the edges of the wrapping paper and the bottom of the box is exactly at the center of the wrapping paper. Given the box dimensions are $l=2w$ and $h=w$, calculate the dimensions of the least size of the wrapping paper required to wrap the box.

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