Diameter of an immersed surface with boundary

Let M be a surface with the boundary ∂M immersed in an n-dimensional Riemannian manifold N. If we denote the length of ∂M   by L(∂M)L(∂M), we estimate the intrinsic diameter of M under some geometric restrictions as follows:dint⩽C(∫M|H|dμ+L(∂M)2) for some constant C>0C>0 and the mean curvature H. Also we obtain a lower bound of the area of a closed minimal surface.