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The side lengths of a rectangle have been measured to the nearest half of a meter as 7.5 and 18.5. What is the greatest possible percent error in finding the area of the rectangle?

 

Please show your work.

 Oct 4, 2021
edited by Poterparker  Oct 4, 2021
edited by Poterparker  Oct 4, 2021
edited by Poterparker  Oct 4, 2021
 #1
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The side lengths of a rectangle have been measured to the nearest half of a meter as 7.5 and 18.5.

What is the greatest possible percent error in finding the area of the rectangle?

 

the smallest possible sides could be  7 by 18  area = 126      difference from estimate = 12.75      12.75/126 = approx 10.1%

The estimate area = 7.5*18.5 = 138.75

the longest possible sides could be 8 bu 19    area = 152      difference from estimate = 13.25        13.25/152= approx 8.7%

 

I am no statistician, there is probably some more refined way to do this but I would assume the answer is 10.1% (to 1 dec place)

 Oct 4, 2021

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