In measuring the sides of a rectangle, one side is taken 8% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.  Choose the most appropriate option
A) 3.5%  B) 2.4%  C) 3%  D) 5%  E) 2.6%
Let the sides of the rectangle be a and b.   actual area of the rectangle without error = ab   New side a ( 8% in excess) = a+0.08a = 1.08a   New side b ( 5% in deficit) = b-0.05b = 0.95b   Area of the new rectangle = (1.08a)(0.95b)= (1.0260)ab   say a=1 and b=1   area of the original rectangle = 1   area of the new rectangle = 1.026   change in the area calculation = .026   error percentage in the area calculated = 2.6%   ANSW2.6%R:2.6%
<result>E</result>
In measuring the sides of a rectangle, one side is taken 8% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.