Question

The relative error in measuring the area of a room is 0.06 where the actual value of the area is 30 m2, then the absolute error in measuring this area is?

a) 0.002 m2
b) 0.06 m2
c) 1.8 m2
d) 1.2 m2​

Answer 1

The absolute error in measuring the area of a room with a relative error of 0.06 and an actual value of 30 m² is calculated as 0.06 × 30 m², resulting in an absolute error of 1.8 m².

Step-by-step explanation:

The student is asking about the absolute error in measuring the area of a room when given the relative error and the actual area. The relative error is 0.06, and the actual area of the room is 30 m2. To find the absolute error, you multiply the relative error by the actual value:

Absolute Error = Relative Error × Actual Value

Absolute Error = 0.06 × 30 m2 = 1.8 m2

Therefore, the absolute error in measuring the area of the room is 1.8 m2, which corresponds to option (c).