
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 rectangle $ABCD$ have vertices $A = (1, -1)$, $B = (101, 19)$, and $D = (3, y)$ for some integer $y$. Find the area of rectangle $ABCD$.
A) 1000
B) 1040
C) 1100
D) 1200
E) 1300

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