
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
A line with slope of $-3$ intersects the positive $x$-axis at a point \(A\) and the positive $y$-axis at a point \(B\). A second line goes through the points $C(6,0)$ and $D$ and intersects the first line at $E(3,6)$. What is the area of the shaded quadrilateral $OBEC$?

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