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## Homework Statement

Wondering if I did this right. Find the centroid of the region shown , not by integration, but by locating the centroids of the rectangles and triangles and using additivity of moments.

## Homework Equations

I will give you the coordinates since I can't draw it.

For the rectangle (-1,0), (0,0) ,(-1,2), (0,2) and for the triangle I have (0,0), (2,0) and (0,2)

## The Attempt at a Solution

So I did x Bar = M(triangle) + M(square) / (Area triangle + area square)

So to get M(triangle) I did xbar(area triangle) = (1)(4/2) = 2

I did this for the square too. I got (-1) When I plugged it into my above formula I got x bar = (1/3)

So, I did the same thing but with y. So I got y bar = 4/3

Does anyone agree? I pretty much did it like an example in class.

Thanks!!!