
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 $ABCD,$ $AB=8$ and $AC=10.$ What is the area of rectangle $ABCD?$

[asy]
draw((0,0)--(8,0)--(8,6)--(0,6)--cycle,black+linewidth(1));
draw((0,6)--(8,0),black+linewidth(1));
label("$A$",(0,6),NW);
label("$B$",(8,6),NE);
label("$C$",(8,0),SE);
label("$D$",(0,0),SW);
label("8",(0,6)--(8,6),N);
label("10",(0,6)--(8,0),SW);
[/asy]

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