
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
The sides of a trapezoid have lengths \(5 \text{ cm}, 15 \text{ cm}, 15 \text{ cm}, 20 \text{ cm}\). The angle bisectors of the trapezoid are drawn, and the intersection points of adjacent angle bisectors are marked. What type of quadrilateral is formed by these four points? What fraction of the area of this quadrilateral is the area of the trapezoid?

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