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.

Poterparker Oct 4, 2021

#1**+2 **

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)

Melody Oct 4, 2021