
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 diagram, $ABCD$ is a parallelogram with an area of $24$ square units. $CD$ is twice the length of $AB$. What is the area of $\triangle ABD?$

[asy]
draw((0,0)--(1,4)--(5,4)--(4,0)--cycle);
draw((1,4)--(4,0));
label("$D$",(0,0),W);
label("$A$",(1,4),NW);
label("$B$",(5,4),NE);
label("$C$",(4,0),E);
[/asy]

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