
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
Given an isosceles trapezoid $ABCD$ where $AB \parallel CD$, $AB = 5$ cm, $CD = 9$ cm, and the diagonals $AC$ and $BD$ intersect at point $E$. It's known that $\angle AEB = 90^\circ$. If the distance from $E$ to line $CD$ is 4 cm, find the area of triangle $BEC$.
A) $4.5 \text{ cm}^2$
B) $3.5 \text{ cm}^2$
C) $5.0 \text{ cm}^2$
D) $6.0 \text{ cm}^2$

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