
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 right triangle with each leg of length $2$ on top of a rectangle. The rectangle has dimensions equal to the hypotenuse of the triangle by twice the leg length of the triangle. What percent of the area of the pentagon is the area of the right triangle?

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