
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 quadrilateral $ABCD$, $m\angle B = m \angle C = 135^\circ, AB=4, BC=6,$ and $CD=7.$ Find the area of $ABCD.$
A) $16 \sqrt{2}$
B) $16.5 \sqrt{2}$
C) $17 \sqrt{2}$
D) $16.5 \sqrt{3}$
E) $17.5 \sqrt{2}$

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