The four particles in Figure P10.21

The four particles in Figure P10.21 are connected by rigid rods of negligible mass. The origin is at the center of the rectangle. If the system rotates in the xy plane about the z axis with an angular speed of 6.00 rad/s, calculate

(a) The moment of inertia of the system about the z axis and

(b) The rotational kinetic energy of the system.