Safina measured the perimeter of a shoebox to be 24 inches. Report the minimum and maximum possible perimeter based on the appropriate level of precision. Enter your responses in decimal form.(1 point)

Question

Between a minimum of
and a maximum of
inches.
Remaining Attempts : 3

Answer 1

To determine the minimum and maximum possible perimeters based on the measurement given (24 inches), we need to consider the precision of the measurement. Typically, if a measurement is reported as a whole number (like 24 inches), we can assume it is precise to the nearest whole number.

Thus:

• The minimum possible value would be half of the smallest unit of measurement less than 24. Since we are measuring to the nearest inch, we subtract 0.5 inches. Therefore, the minimum perimeter is \( 24 - 0.5 = 23.5 \) inches.
• The maximum possible value would be half of the smallest unit of measurement greater than 24. We add 0.5 inches to the measurement. Therefore, the maximum perimeter is \( 24 + 0.5 = 24.5 \) inches.

Thus, you can report:

Minimum: 23.5 inches
Maximum: 24.5 inches

Putting this together, the answer is:

Between a minimum of 23.5 and a maximum of 24.5 inches.