
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
Sides $AB,~ BC, ~CD$ and $DA$, respectively, of convex quadrilateral $ABCD$ are extended past $B,~ C ,~ D$ and $A$ to points $B',~C',~ D'$ and $A'$. Also, $AB = BB'/1.5 = 5,~ BC = CC'/1.5 = 8, ~CD = DD'/1.5 = 4$ and $DA = AA'/1.5 = 7$; and the area of $ABCD$ is $20$. The area of $A'B'C'D'$ is:
A) 150
B) 130
C) 140
D) 120

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