
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
Two lines with slopes $\dfrac{3}{4}$ and $3$ intersect at $(3,3)$. What is the area of the triangle enclosed by these two lines and the line $x+y=12$?
A) $\frac{48}{7}$
B) $\frac{52}{7}$
C) $\frac{54}{7}$
D) $\frac{56}{7}$
E) $\frac{60}{7}$

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