A soccer field is 120 yards long. Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet,

Question

A soccer field is 120 yards long. Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches. What is the amount of the error?

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Thiên Di 3 weeks 2021-08-23T23:50:06+00:00 1 Answers 0 views 0

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    2021-08-23T23:51:31+00:00

    Answer:

    Error = 1.167 feet

    Percentage error = 0.3242%

    Step-by-step explanation:

    The original length of the soccer field = 120 yards long

    Converting to feet

    1 yard = 3 feet

    120 yards = x

    Cross Multiply

    x = 120 × 3 feet

    x = 360 feet

    Measured length:

    Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches.

    We convert 10 inches to feet

    1 inch = 0.0833 feet

    10 inches = x feet

    Cross Multiply

    x = 10 × 0.0833 feet

    x = 0.833 feet

    The measured length = 358 feet + 0.833 feet

    = 358.833 feet

    The Error is calculated as:

    |Measured length – Original Length)

    = 360 feet – 358.833 feet

    = 1.167 feet

    Percentage Error

    = Error/Original Length × 100

    = 1.167/360 × 100

    = 0.3241666667%

    Approximately = 0.3242%

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