The actual dimensions of a rectangle are 9cm by 6cm. Alex measures the sides to be 9.41cm by 6.3cm. 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  9cm by  6cm. Alex measures the sides to be  9.41cm by  6.3cm. In calculating the area, what is the relative error, to the nearest hundredth. Answer:

Bytelearn · Accepted Answer

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 × 6cm = 54cm².Calculate Measured Area: Calculate the measured area of the rectangle using the measured dimensions. Measured area = 9.41cm × 6.3cm. Let's perform the multiplication to find the measured area. Measured area = 59.283cm².Calculate Absolute Error: Calculate the absolute error by subtracting the actual area from the measured area. Absolute error = Measured area - Actual area. Absolute error = 59.283cm² - 54cm² = 5.283cm².Calculate Relative Error: Calculate the relative error by dividing the absolute error by the actual area. Relative error = Absolute error / Actual area. Relative error = 5.283cm² / 54cm². Let's perform the division to find the relative error. Relative error ≈ 0.0978333.Convert to Percentage: Convert the relative error to a percentage and round to the nearest hundredth. Relative error (as a percentage) = Relative error × 100. Relative error (as a percentage) ≈ 0.0978333 × 100 ≈ 9.78%.

The actual dimensions of a rectangle are $9 \mathrm{~cm}$ by $6 \mathrm{~cm}$ . Alex measures the sides to be $9.41 \mathrm{~cm}$ by $6.3 \mathrm{~cm}$ . 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 9 cm 9 \mathrm{~cm} 9 cm by 6 cm 6 \mathrm{~cm} 6 cm. Alex measures the sides to be 9.41 cm 9.41 \mathrm{~cm} 9.41 cm by 6.3 cm 6.3 \mathrm{~cm} 6.3 cm. In calculating the area, what is the relative error, to the nearest hundredth.\newlineAnswer:

The actual dimensions of a rectangle are $9 \mathrm{~cm}$ by $6 \mathrm{~cm}$ . Alex measures the sides to be $9.41 \mathrm{~cm}$ by $6.3 \mathrm{~cm}$ . In calculating the area, what is the relative error, to the nearest hundredth. $\newline$ Answer: