
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
Given the parametric equation of curve E as $$\begin{cases} x=2\cos\alpha \\ y= \sqrt {3}\sin\alpha\end{cases}$$ (where $\alpha$ is the parameter), establish a polar coordinate system with the origin O of the rectangular coordinate system xOy as the pole and the positive semi-axis of the x-axis as the polar axis.
(1) Find the rectangular coordinate equation and polar coordinate equation of curve E;
(2) Suppose point A is any point on curve E, and points A, B, C, and D form rectangle ABCD, where AB and AD are parallel to the x-axis and y-axis, respectively, and the coordinates of point C are (3, 2). Find the range of values for the perimeter of rectangle ABCD.

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