olymmath

HMMT 2002 G5

  • Geometry
  • Answer

Consider a square of side length 1 . Draw four lines that each connect a midpoint of a side with a corner not on that side, such that each midpoint and each corner is touched by only one line. Find the area of the region completely bounded by these lines.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{1}{5}

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