
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 $EFGH$, the sides $EF$ and $GH$ are equal, and the height from $F$ to $GH$ is 6 units. Given that the bottom base $GH$ is 12 units long, and the top base $EF$ is 10 units, find the perimeter of trapezoid $EFGH$.

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