
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
Consider a hexagon formed by placing an equilateral triangle on top of a rectangle. The side length of the equilateral triangle equals the longer side of the rectangle. If the shorter side of the rectangle is half the length of the longer side, what percent of the area of the hexagon is the area of the equilateral triangle?

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