The actual dimensions of a rectangle are 6 in by 10 in. Eric measures the sides to be 5.85 in by 10 in. In calculating the area, what is the relative error, to the nearest thousandth. Answer:

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Calculate Actual Area: To find the relative error, we first need to calculate the actual area and the measured area of the rectangle. The actual area (A_actual) is found by multiplying the actual length and width. A_actual = Actual length × Actual width A_actual = 6 in × 10 in A_actual = 60 in²Calculate Measured Area: Now, we calculate the measured area (A_measured) using the measured dimensions. A_measured = Measured length × Measured width A_measured = 5.85 in × 10 in A_measured = 58.5 in²Calculate Relative Error: The relative error (E_relative) is the absolute value of the difference between the actual area and the measured area, divided by the actual area. E_relative = |A_actual - A_measured| / A_actual E_relative = |60 in² - 58.5 in²| / 60 in² E_relative = |1.5 in²| / 60 in² E_relative = 1.5 in² / 60 in² E_relative = 0.025Express Relative Error: To express the relative error to the nearest thousandth, we keep three decimal places. E_relative ≈ 0.025 (to the nearest thousandth)

The actual dimensions of a rectangle are $6$ in by $10$ in. Eric measures the sides to be $5$ . $85$ in by $10$ 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 $6$ in by $10$ in. Eric measures the sides to be $5$ . $85$ in by $10$ in. In calculating the area, what is the relative error, to the nearest thousandth. $\newline$ Answer: