The dimension of a rectangle measured to the nearest centimetre are 42cm by 81cm . State the least possible width of the rectangle

41.5000000...........

Which of the two dimensions is smaller?

To find the least possible width of the rectangle, we need to consider the dimensions measured to the nearest centimeter.

Given that the length of the rectangle is 81 cm, we can assume that this measurement is accurate. However, the width of the rectangle could be slightly larger or smaller due to rounding errors.

If we consider the possibility of rounding down, the width could be even smaller than 42 cm. Therefore, the least possible width of the rectangle would be 41 cm.

To determine the least possible width of the rectangle, we need to consider the fact that the dimensions were measured to the nearest centimeter. This means the actual dimensions could be slightly smaller or larger than the measured values.

For the width, we have the measured value of 42 cm. Since this is the upper bound of the width, the least possible width would be slightly smaller than 42 cm. To find the lower bound, we need to consider the fact that the actual width could have been rounded down to 42 cm from any value greater than 41.5 cm.

Therefore, the least possible width of the rectangle would be any value within the range of 41.5 cm (exclusive) to 42 cm (inclusive).