
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 triangle $BCE$ be a right triangle with coordinates of $B$ at $(0,0)$, $C$ at $(4,0)$, and $E$ at $(4,3)$. Calculate the area of square $ABCD$, where point $D$ is vertically above $C$ parallel to $BE$, and side $AD$ is equal to the length of $BC$.
A) 10
B) 16
C) 25
D) 30

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