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1994 AMC 12 Question 23

AMC12 · 1994 AMC 12

Question 23

In the $xy$-plane, consider the L-shaped region bounded by horizontal and vertical segments with vertices at $(0,0),$ $(0,3),$ $(3,3),$ $(3,1),$ $(5,1)$ and $(5,0).$ The slope of the line through the origin that divides the area of this region exactly in half is

Question illustration
  1. $\frac27$
  2. $\frac13$
  3. $\frac23$
  4. $\frac34$
  5. $\frac79$