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2009 AMC 10B Question 17

AMC10 · 2009 AMC 10B

Question 17

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. $\dfrac12$
  2. $\dfrac35$
  3. $\dfrac23$
  4. $\dfrac34$
  5. $\dfrac45$