
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
Let triangle $ABC$ be an equilateral triangle, and its sides meet the circumcircle at points $A'$, $B'$, and $C'$, respectively, making a hexagon $AB'CA'BC'$. If the perimeter of triangle $ABC$ is 42 and the radius of the circumcircle is 7, find the area of hexagon $AB'CA'BC'$.

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