
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
Find the following for the given line $l$ and curve $C$:

- Line $l$: $\begin{cases} x=-1+2t \\ y=4t\end{cases}$ (where $t$ is a parameter),
- Curve $C$: $\rho^2 = \frac {2}{2\sin^2\theta + \cos^2\theta}$.

(Ⅰ) Determine the rectangular coordinate equation of curve $C$.
(Ⅱ) Calculate the length of the chord on curve $C$ that is intercepted by line $l$.

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