
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 parallel sides of a trapezoid are \(AB\) and \(CD\), and the diagonals intersect at point \(M\). The area of triangle \(ABM\) is 2, and the area of triangle \(CDM\) is 8. What is the area of the trapezoid?

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