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In measuring the sides of a rectangle , one side is taken 5% in excess, and the other 4% in deficit. . Find the error percent in the area calculated from these measurements.


Options:
A .  0.8%
B .  0.9%
C .  1%
D .  1.4%
Answer: Option A

Let `x` and y be the side of the rectangle , Then correct area = `xy`

Calculated area = `(105/100 x) xx (96/100 y) =  504/500 xy`

Error in  measurement  =` (504/500 xy) - xy =  4/500  xy`

`:.`     Error %  = `[ 4/500  xy  xx (1)/(xy) xx 100]%` = `4/5`% =  0.8%




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