
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
In trapezoid $ABCD$ with $AB \parallel CD$ and $AB$ twice the length of $CD$, let $E$ and $F$ be the midpoints of legs $AD$ and $BC$, respectively. $G$ is the midpoint of $AB$. The area of trapezoid $ABCD$ is 48 square units. Determine the area of quadrilateral $EFGC$.

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