
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 by congruent squares and congruent hexagons. Each large square unit consists of 16 smaller squares, each with side length $b$. Two diagonally opposite corners of the large square are cut away and replaced with hexagons, each covering an area equivalent to three smaller squares. What percent of the plane is enclosed by hexagons?
A) 35%
B) 37.5%
C) 40%
D) 42.5%
E) 45%

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