Can you work age of 11?

Perhaps, but not likely, in the United States. The federal government mandated, through the Fair Labor Standards Act, that severe restrictions be implemented regarding the employment and labor of children under the age of 16. This was meant to protect children's rights by not only preventing exploitation of child labor, but also to ensure their opportunity to receive a proper education. That said, there are some exceptions. The most obvious--and perhaps noticeable--example would be child performers (i.e. actors, singers, etc.). However, there are still many limitations to what can and cannot be expected of a child under the age of 16, as most states recognize that before this age, a child cannot legally give their legal consent for most things. However, there is nothing stopping an 11-year old from getting, say, a summer job walking people's dogs, or helping with lawn care, etc. As long as there is the consent of their parents, and the child is not being exploited (i.e. made to work long hours for little pay, asked to do things that are illegal or immoral, etc.).