The actual dimensions of a rectangle are 5 in by 9 in. Eric measures the sides to be 4.64 in by 8.92 in. 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 = 5 in × 9 in = 45 in².Calculate Measured Area: Calculate the measured area of the rectangle using the measured dimensions. Measured area = 4.64 in × 8.92 in. Let's perform the multiplication to find the measured area. Measured area = 41.3888 in².Calculate Absolute Error: Calculate the absolute error by subtracting the measured area from the actual area. Absolute error = Actual area - Measured area. Absolute error = 45 in² - 41.3888 in². Absolute error = 3.6112 in².Calculate Relative Error: Calculate the relative error by dividing the absolute error by the actual area. Relative error = Absolute error / Actual area. Relative error = 3.6112 in² / 45 in². Relative error ≈ 0.0802488889.Convert Relative Error: Convert the relative error to the nearest thousandth. To round to the nearest thousandth, we look at the fourth decimal place. Since the fourth decimal place is an 8, we round up the third decimal place from 2 to 3. Relative error ≈ 0.080.

The actual dimensions of a rectangle are $5$ in by $9$ in. Eric measures the sides to be $4$ . $64$ in by $8$ . $92$ in. 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 $5$ in by $9$ in. Eric measures the sides to be $4$ . $64$ in by $8$ . $92$ in. In calculating the area, what is the relative error, to the nearest thousandth. $\newline$ Answer: