5 Let ABCD be a square of area 1 Let X Y Z W be random points on AB BC CD DA taken uniformly and independently of each other Let

Question

5 Let ABCD be a square of area 1 Let X Y Z W be random points on AB BC CD DA taken uniformly and independently of each other Let S be the area of the quadrangle XYZW D C We A Z a Find the expression of S in terms of X Y Z W Y B

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