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2015 AMC 8 Question 21

AMC8 · 2015 AMC 8

Question 21

In the given figure hexagon $ABCDEF$ is equiangular, $ABJI$ and $FEHG$ are squares with areas $18$ and $32$ respectively, $\triangle JBK$ is equilateral and $FE=BC.$ What is the area of $\triangle KBC?$

Question illustration
  1. $ 6\sqrt{2}$
  2. $9$
  3. $12$
  4. $9\sqrt{2}$
  5. $32 $