In the cube $ABCDEFGH$ with opposite vertices $C$ and $E$ , $J$ and $I$ are the midpoints of edges $\overline{FB}$ 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 $R^2$ ?
A. $\frac{5}{4}$
B. $\frac{4}{3}$
C. $\frac{3}{2}$
D. $\frac{25}{16}$
E. $\frac{9}{4}$

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Answer

C. $\frac{3}{2}$

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