In the cube ABCDEFGH with opposite vertices C and E, J and I are the midpoints of segments \overline{FB} and \overline{HD} , respectively. Let R be the ratio of the area of the cross-section EJCI to the area of one of the faces of the cube. What is R^2?
Answer Choices
A. \dfrac{5}{4}
B. \dfrac{4}{3}
C. \dfrac{3}{2}
D. \dfrac{25}{16}
E. \dfrac{9}{4}