Final answer:
To calculate the BSA of a patient who is 5'4" and weighs 105 pounds, the height and weight are first converted to metric units and then the Du Bois formula is applied. The final BSA calculation is approximately 1.64 m². The closest answer provided is option (b) 1.4679700.
Step-by-step explanation:
The Body Surface Area (BSA) of a patient can be calculated using various formulas, one of the most common being the Du Bois formula which requires the patient's height in centimeters and weight in kilograms. The question doesn't provide a specific formula, but we can proceed using the Du Bois formula which states that BSA = 0.007184 × Height0.725 × Weight0.425.
First, we need to convert the height of 5'4" to centimeters and the weight of 105 pounds to kilograms:
- 5'4" is 64 inches, and since 1 inch is 2.54 cm, the height in centimeters is 64 × 2.54 = 162.56 cm.
- 105 pounds can be converted to kilograms by dividing by 2.20462 (since 1 pound is approximately 0.453592 kg), which gives us 47.6272 kg.
Applying the Du Bois formula:
BSA = 0.007184 × 162.560.725 × 47.62720.425 = 1.64 m2 (rounded to two decimal places)
The closest matching answer from the options provided is (b) 1.4679700.
After converting height to centimeters and weight to kilograms, the Du Bois formula is applied to find the BSA. The result is approximately 1.64 m2, with the closest option being (b).