For the two shapes shown below calculate the following values:

a$)$ The cross section area.

b$)$ The moment of inertia about the strong axis of the shape.

c$)$ The moment of inertia about the weak axis of the shape.

d$)$ The section modulus about the strong axis of the shape.

e$)$ The radius of gyration about the weak axes of the shape.

Note: For shape $"$b$",$ assume it is made of three parts: one web plate and two flange plates.

W$12$x$96$

$($a$)$

$($b$)$