
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
Point $C(0, p)$ lies on the $y$-axis between $Q(0, 20)$ and $O(0,0)$. Point $B(x_0, 0)$ is on the $x$-axis with $x_0=16$. Calculate an expression for the area of $\triangle COB$ in terms of $p$ for all $0 \leq p \leq 20$. Simplify your answer as much as possible.

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