To determine the longest possible length and width of the rectangle with the appropriate level of precision, we look at the original dimensions given: length = 5.2 inches and width = 3.8 inches.
Both of these measurements are given to one decimal place. To represent the longest possible length and width while maintaining the same precision, we can add 0.05 to each measurement, which would yield:
- Length: 5.2 inches + 0.05 = 5.25 inches
- Width: 3.8 inches + 0.05 = 3.85 inches
Therefore, the response that represents the longest possible length and width of the rectangle with the appropriate level of precision is:
3.85 and 5.25 inches.