In measuring the sides of a rectangle, one side is taken 6% in excess, and the other 5% in deficit.
In measuring the sides of a rectangle, one side is taken 6% in excess, and the other 5% in deficit. Find the error percent in the area calculated from these measurements.
Answer/Solution
0.7%
Steps/Work
Let x and y be the sides of the rectangle. Then, Correct area = xy.
Calculated area = (53/50) x (19/20) y = (144/143)(xy)
Error In measurement = (144/143)xy- xy = (1/143)xy
Error percentage = [(1/143)xy (1/xy)100] % = (7/10) % = 0.7%.
Answer is B.
Calculated area = (53/50) x (19/20) y = (144/143)(xy)
Error In measurement = (144/143)xy- xy = (1/143)xy
Error percentage = [(1/143)xy (1/xy)100] % = (7/10) % = 0.7%.
Answer is B.