
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
Two circles touch externally. The line segment \(AB\) is the diameter of one circle and has a length of \(6 \ \text{cm}\), and the line segment \(CD\) is the diameter of the other circle and has a length of \(14 \ \text{cm}\). The quadrilateral \(ABCD\) is a trapezoid with bases \(AB\) and \(CD\).

Determine the maximum possible area of the trapezoid \(ABCD\), and explain why it cannot be larger.

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