Calculating Center of Mass, 1988 Physics C Mechanics MC

AI Thread Summary
To find the center of mass of a bent wire with uniform cross-section, it is essential to consider the coordinates of each segment of the wire. The discussion highlights confusion about whether to integrate over all four sides or to estimate the center of mass visually. The correct coordinates for the center of mass are identified as (15/14, 6/7). Participants are encouraged to use the known center of mass for each segment to combine them effectively. Understanding the distribution of mass across the shape is crucial for accurate calculations.
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A piece of wire of uniform cross section is bent in the shape shown above (for picture: http://tinypic.com/r/23tjr45/5). What are the coordinates of the center of mass?
Relevant equations:
Was I supposed to integrate the wire on all 4 sides? I wasn't sure exactly what to do at this point.The attempt at a solution
Basically, I eyeballed the graph and picked a point in the far right corner because I thought that would be where the most mass is concentrated. The correct answer, however, is (A)(15/14, 6/7)
 
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Hint:

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