  Let $\Sigma_k(p)$ be the class of univalent meromorphic functions defined on
$\mathbb{D}$ with $k$-quasiconformal extension to the extended complex plane
$\widehat{\mathbb{C}}$, where $0\leq k < 1$. Let $\Sigma_k^0(p)$ be the class
of functions $f \in \Sigma_k(p)$ having expansion of the form $f(z)= 1/(z-p) +
\sum_{n=1}^{\infty}b_n z^{n}$ on $\mathbb{D}$. In this article, we obtain sharp
area distortion and weighted area distortion inequalities for functions in
$\Sigma_k^0(p)$. As a consequence of the obtained results, we present a sharp
estimate for the bounds of the Hilbert transform.
