The length and breadth of a rectangular sheet are 16.2 cm and 10.1 cm, respectively. The area of the sheet in appropriate significant figures and error is

If △x is error in a physical quantity, then relative error is calculated as △xx  Given, lengthl = (16.2 ±0.1) cmBreadth b = (10.1± 0.1) cmArea A = l ×b = 16.2 × 10.1 = 163.62cm2Rounding off to three significant digits, area A = 164 cm2△AA=△ll+△bb = 0.116.2+0.110.1= 1.01+1.6216.2 ×10.1 = 2.63163.62⇒△A=163.62×2.63163.62 = 2.63 cm2△A = 3 cm2(By rounding off to one significant figures)Area, A = A△A = (164±3) cm2