Question

For a square with a side length of 12 cm (correct to the nearest centimeter), calculate the upper bound for the perimeter.

a) 48 cm
b) 50 cm
c) 52 cm
d) 54 cm

Answer 1

The upper bound for the perimeter of a square with a side length of 12 cm, when measured to the nearest cm, is 50 cm, as we consider the highest possible measurement for each side to be 12.5 cm.

Step-by-step explanation:

To calculate the upper bound for the perimeter of a square with a side length of 12 cm when measured to the nearest cm, we need to consider that the actual side length could be up to 0.5 cm more than 12 cm, as the measurement is rounded to the nearest cm. This means the maximum possible side length is 12.5 cm. As a square has four equal sides, the perimeter is four times the side length, so the upper bound for the perimeter would be 4 × 12.5 cm = 50 cm.