
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 floor design uses a tiling pattern of congruent hexagons mixed with smaller congruent triangles, where each hexagon is surrounded by triangles at each of its six sides. If the lengths of the sides of all hexagons and triangles are equal and every hexagon is surrounded symmetrically by 6 triangles such that three edges of each triangle align perfectly with half of each edge of the hexagon they touch, calculate the percentage of the floor that is covered by the hexagons.
A) 75%
B) 80%
C) 85%
D) 90%
E) 95%

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