23. A square piece of paper of area $64 \mathrm{~cm}^{2}$ is folded twice, as shown in the diagram. What is the sum of the areas of the two shaded rectangles?

A $10 \mathrm{~cm}^{2}$
B $14 \mathrm{~cm}^{2}$
C $15 \mathrm{~cm}^{2}$
D $16 \mathrm{~cm}^{2}$
E $24 \mathrm{~cm}^{2}$