Area Moment of Inerita simple rectangle composite I'm lost

[frozenguy]

Homework Statement

Determine the moments of the inertia of the Z-section about its centroidal x₀ and y₀ axes.
I didn't draw them in, but the x₀ axis is 80[mm] up from the bottom and the y₀ axis is 90[mm] from the left most point. So it is in the middle of the piece.

The Attempt at a Solution

So I guess I'm confused as to whether or not I need to even set up this chart since its only asking for $$\bar{I}x$$ and $$\bar{I}y$$. Its just the sum of each from the three different parts? If I do need the chart, what is d_x a distance from/to? I don't think my numbers are right at all.

I have the answers in the book.

 

[PhanthomJay]

Your values for dx an dy appear correct (d = distance from centroid of area to centroid of shape). But your chart is missing the Ix and Iy values, of the areas you designate as 1 and 3, about their individual centroids. You need the parallel axis theorem to compute the Ix and Iy of the overall shape.