Final answer:
To find the percent of error in the area of a plot of land, you need to calculate the actual area and the measured area. Then, find the absolute difference between the actual and measured areas, divide it by the actual area, and multiply by 100 to get the percent of error.
Step-by-step explanation:
To find the percent of error in the area of the plot of land, we first need to calculate the actual area and the measured area. The actual area is calculated by multiplying the length and width of the land, while the measured area is calculated using the given measurements. Then, we can find the percent of error by taking the absolute difference between the actual area and the measured area, dividing it by the actual area, and multiplying by 100. Here's the step-by-step calculation:
- Actual area = length x width = 1300 ft x 982 ft = 1,277,600 ft2
- Measured area = length x width = 1285 ft x 982 ft = 1,261,870 ft2
- Absolute difference = |Actual area - Measured area| = |1,277,600 - 1,261,870| = 15,730 ft2
- Percent of error = (Absolute difference / Actual area) x 100 = (15,730 / 1,277,600) x 100 = 1.23%
Therefore, the percent of error in the area of the plot of land is approximately 1.23%.