The length and breadth of a rectangle are (5.7 pm 0.1) cm and (3.4 pm 0.2) cm respectively. Calculate the area of the rectangle with error limits.

The length and breadth of a rectangle are (5.7 pm 0.1) cm and (3.4 pm

1.	The length and breadth of a rectangle are (5.7 pm 0.1) cm and (3.4 pm 0.2) cm respectively. Calculate the area of the rectangle with error limits.
Answer» Solution :Lenght`L=(5.7 pm 0.1)` cm Breadth`B = (3.4 pm 0.2)` cm Area A with error LIMIT = `A pm DELTAA=?` Area A = `lxxb = 5.7 xx 3.4 = 19.38 = 19.4 "cm"^(2)` `(DeltaA)/(A) = (DELTAL)/(l) + (Deltab)/(b) , DeltaA = ((Deltal)/(l) + (Deltab)/(b))A` `DeltaA = ((0.1)/(5.7) + (0.2)/(3.4)) 19.4 = (0.0175 + 0.0588) xx 19.4 = 1.48 = 1.5` Area with error limitA = `(19.4 pm 1.5) "cm"^(2)`