The area of ellipse x²/4² + y²/9² = 1 is

The correct option is None of these.

To find the area of the given ellipse, let us first recall the standard equation of an ellipse:
$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$
where a is the semi-major axis (or semi-minor axis depending on their values) and b is the semi-minor axis (or semi-major axis).

The standard formula for the area of an ellipse is given by:
$$\text{Area}=\pi ab$$

Comparing the given equation of the ellipse:
$$\frac{x^2}{4^2}+\frac{y^2}{9^2}=1$$
with the standard form, we can identify the values of a and b as:
a = 4
b = 9

Substituting these values into the area formula:
$$\text{Area}=\pi \times 4\times 9=36\pi \text{ sq. units}$$

Since the calculated area of 36π sq. units is not present in the first three options ("6π sq. units", "π(a²+b²)/4 sq. units", or "π(a + b) sq. units"), the correct choice is indeed None of these.