Engineering Finding Centroid of 4 Sections: Help Needed

[jukos]

Homework Statement

centroid of a body consisting of two planes

Relevant Equations

centroid of semi circle = (4R / 3 pi, 4R / 3 pi)
centroid of rectangle = (b/2, h/2)
centroid of triangle = (b/3, h/3)

I found the centroid of four sections, 2 semicircles, 1 rectangle (xz plane) and the remaining right triangle.
I tabulated the individual centroids (x,y,z) of the 4 sections, multiplied each one with the Area of respective section. In the end I calculated the required (x,y,z) by dividing (sum of xA) by (total area of body). I'm getting wrong answer, Please help

 

[Lnewqban]

Could you show us your work in detail?
What the right answer should be?