Concept explainers
The greatest possible percent error in finding the area of rectangle.
Answer to Problem 24PPE
Explanation of Solution
Given:
The side lengths of given rectangle are measured to the nearest half of a meter.
Calculation:
As the measurement is to the nearest 0.5 in., hence the maximum possible error is 0.25 in.
Area of the rectangle will be:
Minimum length = Measured value − Possible Error
Minimum width = Measured value − Possible Error
Minimum area will be:
Maximum length = Measured value + Possible Error
Maximum width = Measured value + Possible Error
Maximum area will be:
Now find:
Maximum area − Measured area:
Minimum area − Measured area:
Greatest Possible Percent Error will be:
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