11(c) Percentage Error of Square Area

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10/23/2025

Problem

The length of a side of a square is measured to be 5 cm, correct to the nearest 1 cm. Find the percentage error of the area of the square.

Solution

Hints:

22 %

Maximum absolute error = 5.25 \\text{ cm}^2. Measured area = 25 \\text{ cm}^2. Percentage error = \\frac{5.25}{25} \\times 100 \\approx 21, which is 22\\% (to 2 significant figures).

Tags

percentage error

area