Consider the ellipse defined by $\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1$. Let its area be $A = 20\pi$ and the distance between its foci be $2c = 8$. Given that the ellipse is centered at $(3, 2)$ and $a > b$, find the standard form of the ellipse equation.