
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 $9 \times 27$ rectangle is cut into two congruent hexagons, which are then repositioned without overlap to form a square. The side of the square is twice the height of each hexagon. Find the side length of the square.
A) $18\sqrt{3}$
B) $9$
C) $9\sqrt{3}$
D) $27$
E) $13.5\sqrt{3}$

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