The actual dimensions of a rectangle are 9cm by 10cm. Alex measures the sides to be 8.65cm by 10.29cm. 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  9cm by  10cm. Alex measures the sides to be  8.65cm by  10.29cm. 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 = 9cm × 10cm = 90cm².Calculate Measured Area: Calculate the measured area of the rectangle using the measured dimensions. Measured area = 8.65cm × 10.29cm. Let's perform the multiplication to find the measured area. Measured area = 89.0055cm².Calculate Absolute Error: Calculate the absolute error by subtracting the actual area from the measured area. Absolute error = |Measured area - Actual area|. Absolute error = |89.0055cm² - 90cm²|. Absolute error = |-0.9945cm²|. Since we are looking for the absolute value, we take the positive value. Absolute error = 0.9945cm².Calculate Relative Error: Calculate the relative error by dividing the absolute error by the actual area. Relative error = Absolute error / Actual area. Relative error = 0.9945cm² / 90cm². Let's perform the division to find the relative error. Relative error ≈ 0.01105.Convert Relative Error: Convert the relative error to the nearest thousandth. To convert to the nearest thousandth, we round the relative error to three decimal places. Relative error ≈ 0.011.

The actual dimensions of a rectangle are $9 \mathrm{~cm}$ by $10 \mathrm{~cm}$ . Alex measures the sides to be $8.65 \mathrm{~cm}$ by $10.29 \mathrm{~cm}$ . 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 9 cm 9 \mathrm{~cm} 9 cm by 10 cm 10 \mathrm{~cm} 10 cm. Alex measures the sides to be 8.65 cm 8.65 \mathrm{~cm} 8.65 cm by 10.29 cm 10.29 \mathrm{~cm} 10.29 cm. In calculating the area, what is the relative error, to the nearest thousandth.\newlineAnswer:

The actual dimensions of a rectangle are $9 \mathrm{~cm}$ by $10 \mathrm{~cm}$ . Alex measures the sides to be $8.65 \mathrm{~cm}$ by $10.29 \mathrm{~cm}$ . In calculating the area, what is the relative error, to the nearest thousandth. $\newline$ Answer: