
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 an ellipse C: $$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$$ ($a>b>0$) with an eccentricity of $$\frac{\sqrt{3}}{2}$$, one of its vertices is on the directrix of the parabola $x^2 = 4y$.  
(Ⅰ) Find the equation of the ellipse C;  
(Ⅱ) Let O be the origin, and let M and N be two distinct points on the ellipse, with gradients of the lines OM and ON being $k_1$ and $k_2$ respectively. If $k_1k_2 = -\frac{1}{4}$, determine the area of triangle MON.

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