
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 circle with a radius of 1 is inscribed in an isosceles trapezoid with an area of 5. Find the area of the quadrilateral formed by the points of tangency of the circle with the trapezoid.

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