If the side of a rectangle measures 10.5 cm to the nearest millimeter,what is the upper bound and lower bound of the side of the rectangle?

To find the upper and lower bounds of the side of the rectangle, we need to consider the potential rounding errors when measuring to the nearest millimeter.

Given that the side of the rectangle measures 10.5 cm, we can convert this measurement to millimeters by multiplying it by 10, as there are 10 millimeters in 1 centimeter.

10.5 cm * 10 = 105 mm

To find the upper bound, we add half a millimeter (0.5 mm) to the measurement:

105 mm + 0.5 mm = 105.5 mm

Therefore, the upper bound of the side of the rectangle is 105.5 mm.

To find the lower bound, we subtract half a millimeter (0.5 mm) from the measurement:

105 mm - 0.5 mm = 104.5 mm

Therefore, the lower bound of the side of the rectangle is 104.5 mm.