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1978 AMC 12 Question 29

AMC12 · 1978 AMC 12

Question 29

Sides $AB,$ $BC,$ $CD,$ and $DA,$ respectively, of convex quadrilateral $ABCD$ are extended past $B,$ $C,$ $D,$ and $A$ to points $B',$ $C',$ $D',$ and $A'.$ Also, $AB=BB'=6,$ $BC=CC'=7,$ $CD=DD'=8,$ and $DA=AA'=9;$ and the area of $ABCD$ is $10.$ The area of $A'B'C'D'$ is
  1. $20$
  2. $40$
  3. $45$
  4. $50$
  5. $60$