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The length and breadth of a field are 100 m and 86 m, respectively. A student measured them to be 100.5 m and 85.5 m. Find the percentage error.

Answer :

Final answer:

The percentage error for the length is 0.5%, and the percentage error for the breadth is approximately 0.5814%.

Explanation:

To find the percentage error in the measurements of the field's length and breadth, we use the formula for percentage error:

For each dimension, calculate the difference between the measured value and the actual value.

Divide this difference by the actual value.

Multiply the result by 100 to get the percentage.

For the length:

Measured length = 100.5 m

Actual length = 100 m

Error in length = 100.5 m - 100 m = 0.5 m

Percentage error for length = (0.5 m / 100 m) × 100 = 0.5%

For the breadth:

Measured breadth = 85.5 m

Actual breadth = 86 m

Error in breadth = 85.5 m - 86 m = -0.5 m

Percentage error for breadth = (-0.5 m / 86 m) × 100 = 0.5814% (approximately)

To summarize, the percentage error in the length is 0.5%, and the percentage error in the breadth is approximately 0.5814%.

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