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Calculate the percentage error of the area of the floor given its length and width measurements.

Mathematics

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Here are the solutions to the problems:

1. Calculate the percentage error of the area of the floor.

  1. Determine the absolute error for each dimension.

    The dimensions are given to the nearest 10 cm, which is 0.1 m.
    The absolute error for each measurement is half of the precision.
    Absolute error for length (ΔL\Delta L) = 0.12=0.05\frac{0.1}{2} = 0.05 m.
    Absolute error for width (ΔW\Delta W) = 0.12=0.05\frac{0.1}{2} = 0.05 m.

  2. Calculate the stated area.

    Stated length (LL) = 12.5 m.
    Stated width (WW) = 9

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