The arrows on the two spinners shown below are spun. Let the number $N$ equal $10$ times the number on Spinner $A$, added to the number on Spinner $B$. What is the probability that $N$ is a perfect square number? (2022 AMC 8 Problems, Question \#12) 
选项为:A:$\frac{1}{16}$  B:$\frac{1}{8}$  C:$\frac{1}{4}$  D:$\frac{3}{8}$  E:$\frac{1}{2}$  请回答其中一个选项.