Final answer:
The area of the table is correctly calculated as 7633.125 cm², but the reported answer should be rounded to four significant figures, resulting in 7633 cm², based on the precision of the given dimensions.
Step-by-step explanation:
When calculating the area of a rectangular table with the given dimensions of length 103.50 cm and width 73.75 cm, the student correctly computes the area as the product of these two measurements. The calculated area is 103.50 cm × 73.75 cm, which equals 7633.125 cm². However, in reporting the result, significant figures must be considered. Each measurement is likely to have an associated uncertainty based on the precision of the measuring tool used. If no uncertainties are provided, we must assume that the significant figures in the reported measurements are indicative of precision. Here, the length (103.50 cm) and the width (73.75 cm) each have four significant figures. Therefore, the reported area should also be given to four significant figures, which would round the calculated area to 7633 cm². It is important to note that the figures provided are already to an appropriate level of precision, and as such, further rounding may not be required unless specifically instructed by the context of the problem or guidelines on precision of measurement.