Square A B C D has side length 10 \mathrm{~cm}. Points W, X, Y, and Z are the midpoints of segments A B, B C, C D and W X, respectively. Determine the area of quadrilateral X C Y Z (in \mathrm{cm}^{2}).
Square A B C D has side length 10 \mathrm{~cm}. Points W, X, Y, and Z are the midpoints of segments A B, B C, C D and W X, respectively. Determine the area of quadrilateral X C Y Z (in \mathrm{cm}^{2}).