Calculate the area, with the appropriate number of significant figures, of a recotangular room that is 14.10 m wide by 15.0 m long.
A.212 m^2
B.211.5 m^2
C.29.1 m
D.29.10 m
Is the answer B?
area = L x W = 15.0 x 14.1 = 211.5 m^2 but the answer is not B.
You can have three significant figures (because of the 15.0). I would round that 211.5 to 212 m^2.
To calculate the area of a rectangular room, you need to multiply its length by its width. In this case, the width is given as 14.10 m and the length as 15.0 m.
To perform the multiplication, multiply the two numbers:
14.10 m × 15.0 m = 211.50 m²
Now, you need to determine the appropriate number of significant figures. The rule for multiplication and division is to round the answer to the same number of significant figures as the measurement with the fewest significant figures. In this case, the measurement with the fewest significant figures is the width, which has four significant figures (14.10 m).
Therefore, the answer should have four significant figures as well. Rounding the calculated area to four significant figures:
211.50 m² → 211.5 m²
So, yes, the correct answer is B.