
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 polar equation of curve $C$ is $\rho=4\cos \theta+2\sin \theta$, and the equations of lines $l_{1}$: $\theta= \dfrac {\pi}{6}(\rho\in\mathbb{R})$, $l_{2}$: $\theta= \dfrac {\pi}{3}(\rho\in\mathbb{R})$. Establish a plane rectangular coordinate system with the pole $O$ as the origin and the positive half-axis of the $x$-axis as the polar axis.  
(Ⅰ) Find the rectangular coordinate equations of lines $l_{1}$, $l_{2}$, and the parametric equation of curve $C$;  
(Ⅱ) Given that line $l_{1}$ intersects curve $C$ at points $O$ and $M$, and line $l_{2}$ intersects curve $C$ at points $O$ and $N$, find the area of $\triangle OMN$.

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