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?

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%