
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
In the convex quadrilateral \(ABCD\), the intersection point of its diagonals is \(O\). What is the minimum area of the quadrilateral if the area of triangle \(AOB\) is \(4 \mathrm{~cm}^2\) and the area of triangle \(COD\) is \(9 \mathrm{~cm}^2\)?

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