Answer :

The genotype of a cat that loves sinks and has hair while being homozygous dominant for both traits is HHSS.

Here's a breakdown to help you understand why:
- The genotype HH represents homozygous dominant for the hair trait. In this case, since the cat has hair, it must have at least one dominant allele for hair, which is denoted by H.
- The genotype SS represents homozygous dominant for the trait of loving sinks. Since the cat loves sinks, it must have at least one dominant allele for this trait, denoted by S.

Therefore, when combined, the genotype for a cat that loves sinks, has hair, and is homozygous dominant for both traits is HHSS.