If $-4$ is the root of the quadratic equation $x^2+px-4=0$ and the quadratic equation $x^2+px+k=0$ has real roots,then the value of $k$ is ______

Question

$\begin{array}{1 1}(A) \; k=\large\frac{4}{9}\\(B)\;k=\large\frac{-4}{9} \\(C)\;k=\large\frac{9}{4} \\(D)\;k=\large\frac{-9}{4} \end{array}$