Wind energy is gaining increased attention, generating an increased interest in windmill technology. Because windmill blades $($vanes$)$ rotate about a central axis, one of the most important physical properties of a windmill is its moment of inertia.

Given is a picture of a typical windmill, where the geometry and center of mass of one of the vanes is illustrated. The mass of each vane is $309$ kg $.$ The distance from the center of mass of the vane to axis B is $k_1=2\mathrm{.}85m.$ The distance from the center of mass of the vane to the center of the windmill hub is $k_2=4\mathrm{.}42m.$

If the moment of inertia of a vane about axis A is $445kg*m^2$ and about axis B is $10800kg*m^2,$ calculate the moment of inertia $I_{\text{t}\text{o}\text{t}\text{a}\text{l}}$ of the entire assembly about the axis that passes through the windmill's hub and is perpendicular to the screen. Ignore the hub and assume the vanes are flat.