GAUSS8 2019 Problem 20

P Q R S is a square with side length 60 and centre C. Point W lies on P S so that W S=53. Point X lies on S R so that X R=40. The midpoint of Q R is Y. Point Z lies on P Q. What is the length of Z Q so that the total area of the shaded regions is equal to the total area of the non-shaded regions?

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Answer Choices
A. 21
B. 15
C. 23
D. 19
E. 17