
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 the coordinate plane, the points $A(1, 9)$, $C(5, 8)$, $D(8, 2)$, and $E(2, 2)$ are given. Find the area of the pentagon $ABCDE$, where $B$ is the intersection point of the lines $EC$ and $AD$.

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