
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 an isosceles triangle (not necessarily right) on top of a rectangle. The rectangle's longer side is twice the length of the shorter side, which is equal to one leg of the triangle. What percent of the area of the pentagon is the area of the isosceles triangle?

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