A uniform thin square plate of side length L lies flat on a tabletop. Three separate axes are perpendicular to the plate and located in its plane:
• Axis X passes through the center of the plate.
• Axis Y passes through the midpoint of one edge.
• Axis Z is located at a point a distance 2L from the center of the plate.
Which of the following correctly ranks the rotational inertia of the plate about these axes from least to greatest?
a) Y<X<Z
b) X<Y<Z
c) X<Z<Y
d) Z<Y<X