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2018 AMC 12A Question 8

AMC12 · 2018 AMC 12A

Question 8

All of the triangles in the diagram below are similar to isosceles triangle $ABC,$ in which $AB = AC.$ Each of the $7$ smallest triangles has area $1,$ and $\triangle ABC$ has area $40.$ What is the area of trapezoid $DBCE?$

Question illustration
  1. $16$
  2. $18$
  3. $20$
  4. $22$
  5. $24$