If your legs are fat, there are two possibilities. Is it fat or muscle? If you are fat, you can grow tall and thin legs and get a good leg shape when you play badminton. If it is muscle, only yoga can help you.
After practicing yoga for a while, combined with the coach's statement and my own experience, you want to lose weight mainly by dieting (6 minutes per meal), but you are only 13 years old, and dieting will not grow taller = = So if your legs are fat because of muscular development and you are eager to lose weight, yoga is the best choice, which can help you shape slender legs.
Generally speaking, eat more and jump more. 1.55 40KG, light weight. Don't be afraid of being fat when eating. Height is the most important before 18. Besides, if you exercise enough, you won't get fat.