
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
An equilateral triangle is placed on top of a rectangle. The height of the triangle is the same as the length of the rectangle’s shorter side, which is half the length of its longer side. What percent of the total area (pentagon formed by the rectangle and triangle) is occupied by the triangle?

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