To determine the longest possible length and width of the rectangle with the appropriate level of precision, we need to consider the precision of the measurements provided.
The length is labeled as 5.2 inches, which indicates it is measured to one decimal place. The typical way to express the longest possible length with this precision would be to extend it to the next decimal (5.25 inches) while maintaining the same level of precision.
Similarly, the width is labeled as 3.8 inches, which again is to one decimal place. The longest possible width with the same precision could be expressed as 3.85 inches.
Therefore, the response that accurately reflects the longest possible length and width of the rectangle, given the precision of the measurements, is:
3.85 and 5.25 inches.