The actual dimensions of a rectangle are 6cm by 10cm. David measures the sides to be 5.6cm by 10.46cm. In calculating the area, what is the relative error, to the nearest thousandth. Answer:

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The actual dimensions of a rectangle are  6cm by  10cm. David measures the sides to be  5.6cm by  10.46cm. In calculating the area, what is the relative error, to the nearest thousandth. Answer:

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Calculate Actual Area: First, calculate the actual area of the rectangle using the actual dimensions. Actual area = length × width Actual area = 6cm × 10cm Actual area = 60cm²Calculate Measured Area: Next, calculate the measured area of the rectangle using the measured dimensions. Measured area = measured length × measured width Measured area = 5.6cm × 10.46cm Measured area = 58.576cm²Find Absolute Error: Now, find the absolute error by subtracting the actual area from the measured area. Absolute error = |Measured area - Actual area| Absolute error = |58.576cm² - 60cm²| Absolute error = |-1.424cm²| Absolute error = 1.424cm² (since error is always positive)Calculate Relative Error: To find the relative error, divide the absolute error by the actual area and express it as a decimal. Relative error (as a decimal) = Absolute error / Actual area Relative error (as a decimal) = 1.424cm² / 60cm² Relative error (as a decimal) = 0.023733...Express Relative Error: Finally, express the relative error as a decimal rounded to the nearest thousandth. Relative error (rounded) = 0.024 (rounded to three decimal places)

The actual dimensions of a rectangle are $6 \mathrm{~cm}$ by $10 \mathrm{~cm}$ . David measures the sides to be $5.6 \mathrm{~cm}$ by $10.46 \mathrm{~cm}$ . In calculating the area, what is the relative error, to the nearest thousandth. $\newline$ Answer:

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The actual dimensions of a rectangle are 6 cm 6 \mathrm{~cm} 6 cm by 10 cm 10 \mathrm{~cm} 10 cm. David measures the sides to be 5.6 cm 5.6 \mathrm{~cm} 5.6 cm by 10.46 cm 10.46 \mathrm{~cm} 10.46 cm. In calculating the area, what is the relative error, to the nearest thousandth.\newlineAnswer:

The actual dimensions of a rectangle are $6 \mathrm{~cm}$ by $10 \mathrm{~cm}$ . David measures the sides to be $5.6 \mathrm{~cm}$ by $10.46 \mathrm{~cm}$ . In calculating the area, what is the relative error, to the nearest thousandth. $\newline$ Answer: