
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
Given the plane is tiled by congruent squares, each larger square divided into a grid of 4 × 4, with 10 out of 16 squares filled with triangles covering half their area, calculate the percent of the plane that is enclosed by the triangles.

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