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UKMT Pink Kangaroo, 2015

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The square $FGHI$ has area 80. Points $J, K, L, M$ are marked on the sides of the square so that $FK = GL = HM = IJ$ and $FK = 3KG$ . What is the area of the shaded region?

(A) $40$ (B) $35$ (C) $30$ (D) $25$ (E) $20$

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