
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 the diagram, the equilateral triangle has a base of 12 m. What is the perimeter and the area of the triangle?
[asy]
size(100);
draw((0,0)--(12,0)--(6,6*sqrt(3))--cycle);
label("12 m",(6,0),S);
draw((6,-.2)--(6,.2));
draw((2.7,5.25)--(3.3,4.95));
draw((9.3,5.25)--(8.7,4.95));
[/asy]

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