
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 unusual pentagon is formed by placing an equilateral triangle atop a rectangle. If each side of the equilateral triangle is equal to the width of the rectangle but twice the length of the rectangle's length, and the area of the rectangle is 48 square units, what percentage of the pentagon's area is occupied by the equilateral triangle?

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