How accurate should i measure the side of a square to calculate area within 2% of its true value?

Question

How accurately should you measure the side of a square to be sure of calculating the area 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

Plus or minus 1 percent.
If you measure a 10 inch square at 9.9 inches the area will be 98.01 sq in.

Answer 3

i'm assuming that the 14cm side is the hypotenuse because of the fact that's the longest so... 10cm x 12cm= 120cm^2 120cm^2/2 (because of the fact a triangle is 0.5 the part of a sq.) = 60cm^2

Answer 4

if you measure each side with an error no more than
sqrt (2%)of its side = plus or minus 1.414% of its side , you will be able to measure your area within 2%

Answer 5

if measuring on a paper
make your eye perpendicular to the table
don't make your eye inclined to the scale
read and write the distance
square the reading
Area = S x S