
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
One of the legs of a trapezoid is perpendicular to the bases and equals $2R$. A circle is constructed on this side as its diameter, which divides the other leg into three segments. The ratio of the lengths of these segments is 12:15:5 (starting from the lower base). Find the area of the trapezoid.

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