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2009 AMC 12B Question 14

AMC12 · 2009 AMC 12B

Question 14

Five unit squares are arranged in the coordinate plane as shown, with the lower left corner at the origin. The slanted line, extending from $(a, 0)$ to $(3, 3),$ divides the entire region into two regions of equal area. What is $a?$

Question illustration
  1. $\dfrac{1}{2}$
  2. $\dfrac{3}{5}$
  3. $\dfrac{2}{3}$
  4. $\dfrac{3}{4}$
  5. $\dfrac{4}{5}$