Find the area of the quadrilateral formed by common tangents drawn from a point P to the circle `x^(2) + y^(2) = 8` and the parabola `y^(2) =16x`, chord of contact of tangents to the circle and chord of contact of tangents to the parabolas.

Explanation

To find the area of the quadrilateral formed by the common tangents drawn from a point \( P \) to the circle \( x^2 + y^2 = 8 \) and the parabola \( y^2 = 16x \), we can follow these steps:

### Step 1: Identify the Circle and Parabola
The equation of the circle is:
\[ x^2 + y^2 = 8 \]
This circle has a center at \( (0, 0) \) and a radius of \( r = \sqrt{8} = 2\sqrt{2} \).
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