
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 $ABCD$, $AB$ and $CD$ are parallel, and the sides $AB$ and $CD$ are equal. Also, $AD$ and $BC$ are perpendicular to $AB$ and $CD$. Given $AB = 10$, $CD = 18$, and the height of the trapezoid (the perpendicular distance between $AB$ and $CD$) is $4$, find the perimeter of $ABCD$.

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