moment of inertia and center of mass

[flat jungle]

The center of mass of this object can be found by finding the center of masses of each individual object (rectangle, triangle) and then finding the center of mass of the 4 discrete points thus obtained.
Alternativrly, as the question seems to suggest from the dashed lines completing the figurez you can take the center of mass of the WHOLE shape, including the white sections, but instead considering these white sections to have negative mass as they're obviously not actually part of the object

[worthy cosmos]

so i find the center of mass for example of a rectangle 1, rectangle 2 and then triangle and then do i sum up all the coordinates and then devide them by 3 or?

which 4 points are you talking about

can i find the center of mass of a rectangle with sides a=2 and b=5, then a rectangle with sides a=1 and b=2, and then of a triangle with sides a=1 and b=2

if i find the center of mass coordinates for those three, how do i find it for the whole object?

[worthy cosmos]

<@&286206848099549185>

[flat jungle]

First the markated red squares, then find the center of mass of their center of masses.

If you're confused about how to go about the points, try writing their coordinates

Use for the discrete points: $\ \ y_cm = \frac{m_1 y_1 + m_2 y_2 + m_3 y_3 + m_4 y_4}{m_1 + m_2 + m_3 + m_4}$ [and same for x coordinates]

[placid widget]

UnexpectedTaco

[worthy cosmos]

thanks

and what about the moment of inertia

[worthy cosmos]

please someone