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13 October, 13:31

You are trying to determine the area of the floor of a rectangular closet since you will be replacing the carpet. You measure the length to be (5.0±0.1) m and the width to be (3.8±0.1) m. What is the maximum possible area based on the measurements and associated errors? What is the minimum possible area based on the measurements and associated errors?

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  1. 13 October, 13:50
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    length L = 5±.1

    percentage error

    = 0.1/5 x 100 = 2%

    breadth b = 3.8 ±.1

    percentage error

    =.1 / 3.8 x 100

    = 2.6 %

    Maximum reading of length = 5.1 m

    maximum reading of breadth = 3.9m

    maximum area possible = 5.1 x 3.9

    = 19.9 m².

    maximum possible error in the measurement of area in percentage terms

    = 2+2.6 = 4.6 %

    error in maximum area

    19.9 x 4.6 / 100

    =.9 m²

    Minimum possible measurement of area

    4.9 x 3.7 = 18.1 m²

    possible error

    18.1 x 4.6 / 100

    =.8 m²
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