
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
Quadrilateral $ABCD$ is a rectangle with $AB = 5$ and $BC = 12$. A point $F$ lies on diagonal $\overline{AC}$ such that $\overline{BF}$ is perpendicular to $\overline{AC}$. What is the area of $\triangle BFC$?
A) 25
B) 28
C) 30
D) 32
E) 34

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