# Maximum Quadrilateral Area

**Geometry**Level 4

Two sides of a quadrilateral have length \(a\), while the other two are of length \(b\). Let the maximum possible area of the quadrilateral be \(A\).

Let the area of an ellipse with the major and minor axes as \(a\) and \(b\), be \(B\).

Then the value of \(\frac{B}{A}\) is ...