Final answer:
The total body surface area burned for the 11-year-old child is 61%.
Step-by-step explanation:
The size of the burns on the child's body can be calculated using the rule of nines, which associates specific anatomical areas with a percentage of body area. According to the information given, the burns cover both upper and lower arms (9% each), both hands (4.5% each), anterior upper and lower legs (9% each), anterior chest (18%), and the neck (1%). Adding up these percentages gives a total body surface area burned of 61%.