3) (15 points) PQ RS is a square with side length 60 and centre C. Point W lies on PS so that WS = 53. Point X lies on SR so that X R = 40. The midpoint of Q R is Y. Point Z lies on PQ. What is the length of ZQ so that the total area of the shaded regions is equal to the total area of the non-shaded regions? (Gauss Contest)
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