
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
Kite $ABCD$ has sides $AB=AD=3$ and $BC=CD=5$ with $\angle B = 100$°. Region $R$ consists of all points inside the kite that are closer to vertex $A$ than any of the other three vertices. What is the area of $R$?
A) $4$
B) $5$
C) $6$
D) $7$
E) $8$

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