
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 quadrilateral  $ABCD$  with  $AB = BC =3$  cm,  $CD = 4$  cm,  $DA = 8$  cm and  $\angle DAB + \angle ABC = 180^o$ . Calculate the area of the quadrilateral.



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