
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
In rectangle $ABCD$, $AB = 12$ and diagonal $AC = 15$. What is the area of rectangle $ABCD$?

[asy]
draw((0,0)--(12,0)--(12,9)--(0,9)--cycle,black+linewidth(1));
draw((0,9)--(12,0),black+linewidth(1));
label("$A$",(0,9),NW);
label("$B$",(12,9),NE);
label("$C$",(12,0),SE);
label("$D$",(0,0),SW);
label("12",(6,9),N);
label("15",(6,4.5),NW);
[/asy]

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