  We generalize Brendle's geometric inequality considered in \cite{B} to static
manifolds. The inequality bounds the integral of inverse mean curvature of an
embedded mean-convex hypersurface by geometric data of the horizon. As a
consequence, we obtain a reverse Penrose inequality on static asymptotically
locally hyperbolic manifolds in the spirit of Chru\'{s}ciel and Simon
\cite{CS}.
