A metallic sheet of mass 2 kg has the shape of an isosceles triangle OAB as shown in figure. Then its moment of inertia about an axis passing through O and perpendicular to its plane is

If four such triangles are assembled a square ABCD is formed as shown in figure. Whose side l=2×2cos45o m=22 m.ml=Mass of the square =4×2 Kg=8 KgMoment of inertia of the square about an axis passing through O and perpendicular to its plane is given by I01=112m1l2+112m1l2=16×8×222Kg−m2=323Kg−m2∴ Moment of inertia of the triangle ABC, I0=I014=83Kg−m2