Question

Need help with understanding The Hardy-Weinberg Principle:

A hypothetical population of 200 cats has two alleles, TL and TS, for a locus that codes for tail length. There are 60 cats with long tails (TLTL genotype), 40 with medium (TLTS genotype), and 100 with short tails (TSTS genotype).
According to the answers, in the entire cat population, 60% of the alleles are TS. Why is it so?
I tried solving it and I got 71%, here's how:
100/200=0.5
√(0.5)=0.7071 ~ 0.71
0.71*100=71%

Where's the mistake?

Answer 1

60 long tailed cats : 120 TL alleles

40 medium tailed cats : 40 TL alleles and 40 TS alleles

100 short tailed cats : 200 TS alleles

Number of TS alleles/Total number of alleles = 240 / 400

= 0.6

= 60%