In the figure shown ABCD is a lamina of mass `12 kg`. The moment of inertia of the given body about an axis passing through D, and perpendicular to the plane of the body is

Options

A. `256 kg m^(2)`
B. `512 kg m^(2)`
C. `200 kg m^(2)`
D. `100 kg m^(2)`

Answer

B

Explanation

Portion DEA and DFC are identical hence moment of inertia of ABCD is same as ABFDEA

`l =2.(Mxx(BE)^(2))/(3)`
`=512 kgm^(2)`