If the population is at Hardy-Weinberg equilibrium, then the frequency of the recessive genes would be:
aa=0.16
a= √0.16= 0.4
Then, the frequency of dominant genes would be:
0.4+q=1
q= 1-0.4= 0.6
The frequency of homozygous dominant genotype would be:
qq= 0.6*0.6=0.36= 36%