Final answer:
The area of the rectangular room is 12.05 m² with an uncertainty of 0.01 m².
Step-by-step explanation:
To calculate the area of the rectangular room, we need to multiply its length and width. The length of the room is given as 3.955 ± 0.005 m and the width is given as 3.050 ± 0.005 m.
To find the area, we multiply the length and width:
Area = (3.955 m)(3.050 m) = 12.05 m².
The uncertainty in the area can be found by adding the absolute uncertainties in the length and width:
Uncertainty in area = 0.005 m + 0.005 m = 0.01 m².