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QUESTION: enter image description here

I need help, can someone help me show how we get the solution as stated in the question; as i am trying my very best to solve.

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    $\begingroup$ Try dividing the figure into two triangles and a rectangle, cutting horizontally 54mm from x-axis. $\endgroup$ – Jem Eripol Sep 25 '17 at 12:00
  • $\begingroup$ Copy the examples in the textbook $\endgroup$ – Carl Witthoft Sep 25 '17 at 14:27
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    $\begingroup$ homework questions are not off topic, but lazy cut pastes showing no effort to do anything are. $\endgroup$ – agentp Sep 25 '17 at 14:32
  • $\begingroup$ @JemEripol or 3 triangles. But yes given the dimensions yours is easier. $\endgroup$ – joojaa Sep 25 '17 at 14:51
  • $\begingroup$ @joojaa can you please show me the dividing of these shapes then i will continue from there since that is what making me finding the way through very difficult. $\endgroup$ – Surdz Sep 25 '17 at 19:12
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Remember that you can break a object into pieces. The centroid of the whole object is the weighted centroids of the pieces. Since this is a planar object, the centroids of the pieces are weighted according to the area of those pieces.

Your object is regular enough so that it can be broken into pieces for which centroids can be easily found, like rectangles and triangles.

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