the error in the measurement of the side of a rectangle is 1% the error in the measurement of its area is

Asked by aartiingole27 | 31st Mar, 2021, 02:26: PM

Expert Answer:

Rectangle are A = L × B  .................(1)
 
where L is length and B is breadth
By taking logarithm and differentiating after wards, we get
 
dA/A = (dL/L) + (dB/B)
 
if dL/L = dB/B = 0.01 , the dA/A = 0.02
 
Hence error in area is 2%

Answered by Thiyagarajan K | 31st Mar, 2021, 02:44: PM