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.