#### The length and width of a rectangular room are measured to be 3.955 ±0.005 m and 3.050 ± 0.005 m . Calculate the area of the room and its uncertainty in square meters.

## Solution:

The average area of the room is

Compute for the percent uncertainties of each dimension.

The percent uncertainty in the area is the combined effect of the uncertainties of the length and width.

The uncertainty in the area is

Therefore, the area is