
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 $ABCD$ be an isosceles trapezoid with bases $\overline{BC}\parallel \overline{AD}$ where $AB=CD$. Points $W$ and $Z$ lie on diagonal $\overline{AC}$ with $W$ between $A$ and $Z$. Additionally, $\angle AWD = \angle BZC = 90^\circ$, with $AW = 4$, $WZ = 2$, and $ZC = 5$. Calculate the area of trapezoid $ABCD$.

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