Subjects algebra

Area Error

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Area Error


1. We are given an estimated area of 785 m² and the block dimensions of 30 m and 26 m. We need to calculate the actual area and find the percentage error in the estimation. 2. Calculate the actual area using the given block dimensions: $$ \text{Actual Area} = 30 \times 26 = 780 \text{ m}^2 $$ 3. Calculate the error in estimation: $$ \text{Error} = |\text{Estimated Area} - \text{Actual Area}| = |785 - 780| = 5 \text{ m}^2 $$ 4. Calculate the percentage error: $$ \text{Percentage Error} = \left(\frac{\text{Error}}{\text{Actual Area}}\right) \times 100 = \left(\frac{5}{780}\right) \times 100 \approx 0.641\% $$ 5. Final answer: The estimated area has an error of 5 m² which corresponds to approximately 0.641% percentage error.