To report the longest possible length with the appropriate level of precision from the measurements provided, we need to first identify the precision of each measurement:
- 34.2 - This measurement is precise to 1 decimal place.
- 29.2 - This measurement is also precise to 1 decimal place.
- 35.25 - This measurement is precise to 2 decimal places.
- 33.7 - This measurement is precise to 1 decimal place.
- 34.25 - This measurement is precise to 2 decimal places.
The longest possible length that can be reported, while maintaining the appropriate level of precision, is determined by the measurement with the greatest value that also has the least precise measurement in terms of decimal places among those that have the same precision.
The maximum measurement is 35.25, which has a precision of 2 decimal places. However, since there are measurements that are less precise (1 decimal place), the result should be reported to 1 decimal place since that is the lowest common precision among all measurements.
To find the longest possible length:
- The longest measurement is 35.25, but the least precise measurement limits our answer.
Thus, rounding to the least precise measurement (1 decimal place), the longest possible length with the appropriate level of precision is 35.3.
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