The actual dimensions of a rectangle are 3cm by 9cm. Alex measures the sides to be 3.29cm by 9.22cm. 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  3cm by  9cm. Alex measures the sides to be  3.29cm by  9.22cm. In calculating the area, what is the relative error, to the nearest thousandth. Answer:

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Calculate Actual Area: Calculate the actual area of the rectangle using the actual dimensions. The formula for the area of a rectangle is length × width. Actual area = 3cm × 9cm = 27cm².Calculate Measured Area: Calculate the measured area of the rectangle using the measured dimensions. Measured area = 3.29cm × 9.22cm. Let's perform the multiplication to find the measured area. Measured area = 30.3348cm².Calculate Absolute Error: Calculate the absolute error in the area. Absolute error = |Measured area - Actual area|. Absolute error = |30.3348cm² - 27cm²|. Absolute error = 3.3348cm².Calculate Relative Error: Calculate the relative error. Relative error = (Absolute error / Actual area). Relative error = (3.3348cm² / 27cm²). Let's perform the division to find the relative error. Relative error ≈ 0.123511.Express Relative Error: Express the relative error to the nearest thousandth. To express the relative error to the nearest thousandth, we round it to three decimal places. Relative error ≈ 0.124 (rounded to the nearest thousandth).

The actual dimensions of a rectangle are $3 \mathrm{~cm}$ by $9 \mathrm{~cm}$ . Alex measures the sides to be $3.29 \mathrm{~cm}$ by $9.22 \mathrm{~cm}$ . 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 3 cm 3 \mathrm{~cm} 3 cm by 9 cm 9 \mathrm{~cm} 9 cm. Alex measures the sides to be 3.29 cm 3.29 \mathrm{~cm} 3.29 cm by 9.22 cm 9.22 \mathrm{~cm} 9.22 cm. In calculating the area, what is the relative error, to the nearest thousandth.\newlineAnswer:

The actual dimensions of a rectangle are $3 \mathrm{~cm}$ by $9 \mathrm{~cm}$ . Alex measures the sides to be $3.29 \mathrm{~cm}$ by $9.22 \mathrm{~cm}$ . In calculating the area, what is the relative error, to the nearest thousandth. $\newline$ Answer: