
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 the enlarged rectangle $ABCD$, with $AB=24$ units and $AD$ unknown, points $Z$ and $W$ lie on sides $AD$ and $BC$, respectively, such that $AZ = WC = 12$ units. The area of trapezoid $ZWCD$ is 288 square units. Find the area of the triangle $BQW$, where $Q$ is a point on $ZW$ such that $BQ$ is three times as long as $BW$.

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