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Divide convex polygon into 4 equal areas

  1. Jan 29, 2012 #1
    1. The problem statement, all variables and given/known data

    Show that it is possible to cut any convex polygon into 4 pieces of equal areas by using two cuts perpendicular to each other.

    2. Relevant equations
    None, it's just a proof I found on the back of my book. The relevant chapter is Continuity, the maximum principle, and intermediate value theorem for real analysis.


    3. The attempt at a solution

    I have no idea! Can someone tell me how to approach this please?

    Thanks!
     
  2. jcsd
  3. Feb 2, 2012 #2
    Anyone know how to do this?
     
  4. Feb 3, 2012 #3
    What about considering the centroid of the convex polygon?
     
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