
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 a convex quadrilateral $ABCD$, sides $AB,~ BC, ~CD$ and $DA$ are extended past $B,~ C, ~D$ and $A$ to points $B',~C',~ D'$ and $A'$ respectively. This time, $AB = BB' = 8,~ BC = CC' = 9, ~CD = DD' = 10$ and $DA = AA' = 11$; and the area of $ABCD$ is $20$. Calculate the area of $A'B'C'D'$.
A) 30
B) 40
C) 50
D) 60

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