Question

How accurately should you measure the side of a square to be sure of calculating its area to within 2% of its true value

Answer 1

Roughly 1 %
If the side is 100 units then area would be 10,000 units^2
2% of 10,000 is 200 so your area could be as much as 10,200 or as small as 9,800.

sqrt(10,200) = 100.995
sqrt(9800) =98.995
So your measurement should be accurate to .995% if you are measuring too big, and 1.015% if you are measuring too small So essentially the answer is 1%.

Answer 2

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