The area of the region bounded by the ellipse x²/25 + y²/16 = 1 is

The correct option is 20π sq. units.

To find the area of the region bounded by the given ellipse, we can compare its equation to the standard form of an ellipse's equation.

The standard equation of an ellipse centered at the origin is given by:
$$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$
where $a$ is the semi-major axis and $b$ is the semi-minor axis.

The equation given in the problem is:
$$\frac{x^2}{25}+\frac{y^2}{16}=1$$
By comparing the two equations, we can identify:
$$a^2=25\Rightarrow a=5$$
and
$$b^2=16\Rightarrow b=4$$

The formula for the area of an ellipse is:
$$\text{Area}=\pi ·a·b$$
Substituting the values of $a$ and $b$ into the formula:
$$\text{Area}=\pi \times 5\times 4=20\pi \text{ sq. units}$$
Therefore, the area of the region bounded by the ellipse is 20π sq. units.