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

The area of the room and its uncertainty in square meters is:

15.642±0.040

Step-by-step explanation:

We know the area of a rectangular room is the multiplication of the length and width:

Now we need to know the uncertainty, the uncertainty of a multiplication is:

(1)

: Area uncertainty

: Length uncertainty

: Width uncertainty

A: Area of the room

L: Length

W: Width

Clearing the uncertainty of the area:

(2)

The area of the room and its uncertainty in square meters is:

15.642±0.040