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A boy measured the area of a rectangle plot to be 295  . But the actual area of the plot has been recorded as 267 . Calculate the percent error of his measurement.

Question

A boy measured the area of a rectangle plot to be 295  . But the actual area of the plot has been recorded as 267 . Calculate the percent error of his measurement.

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Solution

To calculate the percent error, you can use the following formula:

Percent Error = (|Experimental Value - Actual Value| / Actual Value) * 100%

Here, the Experimental Value is the boy's measurement, which is 295, and the Actual Value is the recorded area, which is 267.

Step 1: Subtract the Actual Value from the Experimental Value: |295 - 267| = 28

Step 2: Divide this result by the Actual Value: 28 / 267 = 0.10486

Step 3: Multiply this result by 100% to get the percent error: 0.10486 * 100% = 10.486%

So, the percent error of the boy's measurement is approximately 10.49%.

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