Area probability on a midpoint target

Area probability on a midpoint target

Secondary 2
TGM Original Questions

\(UVWX\) is a rectangular target. \(M,N,P,Q\) are the midpoints of \(UV,VW,WX,XU\), respectively. A point lands uniformly at random on the rectangle. Find the probability that it lands

  1. in triangle \(MVN\),
  2. in the shaded region outside diamond \(MNPQ\).

Solution:

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Answer:(a) \(1/8\); (b) \(1/2\).

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