To determine the longest possible length and width of the rectangle using the appropriate level of precision, we assess the provided dimensions.
- The length is 5.2 inches, which, when considering a potential maximum, could be estimated as 5.25 inches (to the nearest 0.05).
- The width is 3.8 inches, which could be estimated as 3.85 inches (to the nearest 0.05).
Based on these estimates, the option that represents the longest possible dimensions of the rectangle with the appropriate level of precision is:
3.85 and 5.25 inches.