
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 $AB$ and $CD$ parallel and equal in length, $AB = 4$ and $CD = 4$. The vertical distance (height) between $AB$ and $CD$ is $2$. Additionally, $BC=6$. Calculate the perimeter of trapezoid $ABCD$.
```plaintext
A------B
 \    /
  \  /
   \/ 
   C------D
```

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