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Length and the width of a rectangle are 12.5cm and 5.5cm respectively. If the actual length and width are 12.7cm and 5.4cm respectively, calculate the error.

Answer :

To find the error in the measurements of a rectangle's length and width, you need to compare the given measurements with the actual measurements provided. This involves calculating the difference between the two sets of values for both dimensions.

  1. Error in Length:

    The given length of the rectangle is 12.5 cm, while the actual length is 12.7 cm. The error in length is calculated as follows:

    [tex]\text{Error in Length} = \text{Actual Length} - \text{Given Length}[/tex]

    [tex]\text{Error in Length} = 12.7 \text{ cm} - 12.5 \text{ cm} = 0.2 \text{ cm}[/tex]

  2. Error in Width:

    The given width of the rectangle is 5.5 cm, while the actual width is 5.4 cm. The error in width is calculated as follows:

    [tex]\text{Error in Width} = \text{Actual Width} - \text{Given Width}[/tex]

    [tex]\text{Error in Width} = 5.4 \text{ cm} - 5.5 \text{ cm} = -0.1 \text{ cm}[/tex]

  3. Interpretation of Errors:

    • The error of 0.2 cm in length indicates that the given measurement is 0.2 cm shorter than the actual length.
    • The error of -0.1 cm in width indicates that the given measurement is 0.1 cm longer than the actual width. The negative sign here shows the direction of the error (measurement is greater than actual).

By identifying these errors, you can adjust the measurements if needed to ensure that they more accurately reflect the true dimensions of the rectangle.

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