Option (B)
Given:
The dimesnions of the post cards is,
[tex]\begin{gathered} \text{Length, l=5}\frac{1}{2}\text{ inches.} \\ \text{Width, w=}3\frac{1}{2}\text{ inches.} \end{gathered}[/tex]The objective is to find the area of the post card.
The area can be calculated as,
[tex]\begin{gathered} A=l\times w \\ =5\frac{1}{2}\times3\frac{1}{2} \\ =\frac{10+1}{2}\times\frac{6+1}{2} \\ =\frac{11}{2}\times\frac{7}{2} \\ =\frac{77}{4} \\ =19\frac{1}{4}\text{ }square\text{ inches} \end{gathered}[/tex]Hence, option (B) is the correct answer.