Multiple choice

In measuring the sides of a rectangle, it is found that the length is 4% in excess and the breadth is 3% in deficit. Find the error percentage in the area.

  1. 0.88% increase

  2. 0.55% increase

  3. 0.99% increase

  4. 0.89% increase

  5. None of these
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A Correct answer
Explanation

Let the length of rectangle = 10 and breadth = 10, then area = 10 x 10 = 100. Now, if 4% in excess in length and 3% in deficit in breadth, then area = 10.4 x 9.7 = 100.88. Increase in area = 100.88 - 100 = 0.88 Now, percentage error = 0.88%

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