
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
Consider the triangle $\triangle COB$ with $C(0,p)$ lying on the $y$-axis between new point $Q(0,20)$ and origin $O(0,0)$. Let $B(k,0)$ be a point on the $x$-axis where $k = 24$. Determine an expression for the area of $\triangle COB$ in terms of $p$.

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