While calculating the edge of a square,a worker makes an error of 2% in excess.What % error does he make in calculating area? (%)4.04440.44.004
Question
While calculating the edge of a square, a worker makes an error of 2% in excess. What % error does he make in calculating area? (%)
4.044
0.44
0.004
Solution
The error in calculating the area of a square when there is an error in measuring the edge can be found using the formula for the area of a square (Area = edge^2) and the concept of percentage error.
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The worker makes an error of 2% in excess while measuring the edge. This means the measured edge is 102% of the actual edge (100% + 2%).
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The area calculated with this incorrect edge would be (1.02edge)^2 = 1.0404edge^2. This is 104.04% of the actual area.
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The percentage error in the area is therefore 104.04% - 100% = 4.04%.
So, the worker makes a 4.04% error in calculating the area.
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