Final answer:
To calculate the area of a rectangular room, multiply the length and width. The area is 12.04775 m² with an uncertainty of 0.08776 m².
Step-by-step explanation:
To calculate the area of a rectangular room, you multiply the length and width. In this case, the length is 3.955 m and the width is 3.050 m. So the area is 3.955 m * 3.050 m = 12.04775 m².
Now, let's calculate the uncertainty in the area. The uncertainty in the length is 0.005 m and the uncertainty in the width is 0.005 m. To find the uncertainty in the area, we add the relative uncertainties of length and width and multiply by the area. So, the uncertainty in the area is (0.005 m / 3.955 m + 0.005 m / 3.050 m) * 12.04775 m² = 0.08776 m².