
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
Find the area of the shaded region formed between two intersecting straight lines defined by the points $(2,6)$ and $(10,0)$, and $(0,7)$ and $(9,4)$. Determine the total shaded area from $x=0$ to $x=6$.
A) $10$
B) $10.5$
C) $11$
D) $11.5$

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