In a physics lab, Asha is given a 10.1 kg uniform rectangular plate with edge lengths 68.7 cm by 50.9 cm . Her lab instructor requires her to rotate the plate about an axis perpendicular to its plane and passing through one of its corners, and then prepare a report on the project. For her report, Asha needs the plate's moment of inertia I with respect to given rotation axis. Calculate I .