
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
Suppose a trapezium has its shorter base, altitude, and the longer base relating such that the lengths are $2x$, $2x$, and $6x$ respectively, where $x$ represents a positive number and the trapezium is isosceles. Calculate the area of the trapezium.
A) $4x^2$
B) $8x^2$
C) $12x^2$
D) $16x^2$

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