
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
The plane is tiled using a combination of congruent hexagons and squares. The proportion of hexagons to squares in a certain large square tile is such that there are 3 hexagons for every 6 squares, with each hexagon and square having a side length of $a$. Compute the closest percent of the plane that is enclosed by the hexagons.
- A) 53%
- B) 56%
- C) 57%
- D) 58%
- E) 60%

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