
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
Given a trapezoid $ABCD$, where $AB$ and $CD$ are the bases, with $AB = 40$ units and $CD = 70$ units, and the non-parallel sides $AD$ and $BC$ are equal in length. If the height of the trapezoid from $D$ to base $AB$ is $24$ units, calculate the perimeter of trapezoid $ABCD$.

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