
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 Cartesian coordinate system xOy, the parametric equation of curve C₁ is given by $$\begin{cases} x=t \\ y=3-t \end{cases}$$ (where t is the parameter), and in the polar coordinate system with the coordinate origin as the pole and the non-negative semi-axis of the x-axis as the polar axis, the polar equation of curve C₂ is ρ=4sinθ.
(I) Write the ordinary equation of C₁ and the rectangular coordinate equation of C₂.
(II) If C₁ and C₂ intersect at points A and B, find the area of ΔOAB.

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