Final answer:
Using the rule of nines, the approximate Total Body Surface Area (TBSA) affected by partial-thickness burns on a 10-year-old child's both arms, hands, and the upper half of the chest is estimated to be 27%.
Step-by-step explanation:
The American Burn Association uses the rule of nines to estimate the Total Body Surface Area (TBSA) affected by burns. For the 10-year-old child with partial-thickness burns on both the anterior surfaces of the arms and hands as well as the upper half of the chest, we calculate the approximate TBSA affected using the percentages designated for each body part.
The entire arm and hand are typically allocated 9% per arm, and the anterior portion of the chest is about 9%. Since both sets of limbs are burned, this will be 9% for one arm and hand, plus another 9% for the other arm and hand, and an additional 9% for the chest, totaling 27% of the body surface area.