
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 triangles as indicated. The percent of the plane that is enclosed by the triangles is closest to what value? Assume each large square (tile) is divided into a grid of $4 \times 4$ smaller squares, with two diagonally opposite corners of each large square composed of two triangles each covering half the area of a smaller square.
A) 6%
B) 7%
C) 8%
D) 9%
E) 10%

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