
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 a new diagram, triangles $ABC$ and $BCD$ share the vertex $B$, and side $CD$ is extended compared to $AC$. Point $B$ is above line $ACD$. The length of base $AC$ is 4 units, and the length of $CD$ is 30 units. If the area of triangle $ABC$ is 20 square units, find the area of triangle $BCD$.

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