Given the ellipse with equation `x^(2) + 4y^(2) = 16`, find the length of major and minor axes, eccentricity, foci and vertices.

Explanation

To solve the problem step by step, we will analyze the given ellipse equation and extract the required information.

### Step 1: Rewrite the equation of the ellipse
The given equation of the ellipse is:
\[ x^2 + 4y^2 = 16 \]
To convert it into the standard form, we divide the entire equation by 16:
\[ \frac{x^2}{16} + \frac{4y^2}{16} = 1 \]
This simplifies to:
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