
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 $-\dfrac{3}{2}$ intersect at $(4,3)$. What is the area of the triangle enclosed by these two lines and the line $x+2y=12$?
A) 2.5
B) 3.75
C) 4.25
D) 6.0

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