The actual dimensions of a rectangle are 10cm by 10cm. Alex measures the sides to be 9.75cm by 9.66cm. In calculating the area, what is the relative error, to the nearest hundredth. Answer:

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The actual dimensions of a rectangle are  10cm by  10cm. Alex measures the sides to be  9.75cm by  9.66cm. In calculating the area, what is the relative error, to the nearest hundredth. 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 = 10cm × 10cm Actual area = 100cm²Calculate measured area: Next, calculate the measured area of the rectangle using the measured dimensions. Measured area = measured length × measured width Measured area = 9.75cm × 9.66cm Measured area = 94.185cm²Find absolute error: Now, find the absolute error by subtracting the measured area from the actual area. Absolute error = |Actual area - Measured area| Absolute error = |100cm² - 94.185cm²| Absolute error = 5.815cm²Find relative error: To find the relative error, divide the absolute error by the actual area and then multiply by 100 to get the percentage. Relative error = (Absolute error / Actual area) × 100 Relative error = (5.815cm² / 100cm²) × 100 Relative error = 5.815%Round relative error: Finally, round the relative error to the nearest hundredth. Relative error (rounded) = 5.82%

The actual dimensions of a rectangle are $10 \mathrm{~cm}$ by $10 \mathrm{~cm}$ . Alex measures the sides to be $9.75 \mathrm{~cm}$ by $9.66 \mathrm{~cm}$ . In calculating the area, what is the relative error, to the nearest hundredth. $\newline$ Answer:

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The actual dimensions of a rectangle are 10 cm 10 \mathrm{~cm} 10 cm by 10 cm 10 \mathrm{~cm} 10 cm. Alex measures the sides to be 9.75 cm 9.75 \mathrm{~cm} 9.75 cm by 9.66 cm 9.66 \mathrm{~cm} 9.66 cm. In calculating the area, what is the relative error, to the nearest hundredth.\newlineAnswer:

The actual dimensions of a rectangle are $10 \mathrm{~cm}$ by $10 \mathrm{~cm}$ . Alex measures the sides to be $9.75 \mathrm{~cm}$ by $9.66 \mathrm{~cm}$ . In calculating the area, what is the relative error, to the nearest hundredth. $\newline$ Answer: