Error Analysis: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Error Analysis. Understanding the underlying formula is key to arriving at the correct answer below:

Length \(L = 55.3 \text{m}\) (3 significant figures). Breadth \(B = 25 \text{m}\) (2 significant figures). Area \(A = L \times B = 55.3 \times 25 = 1382.5 \text{m}^2\). For multiplication, the result must be rounded to the least number of significant figures, which is 2. Rounding \(1382.5 \text{m}^2\) to 2 significant figures gives \(1400 \text{m}^2\) or \(14 \times 10^2 \text{m}^2\).