
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 pentagon is formed by placing a 30-60-90 triangle on top of a rectangle. The longer leg of the triangle is equal to one side of the rectangle, and the shorter leg is half the length of the longer leg. What percent of the area of the pentagon is the area of the right triangle?

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