squares with area of 25 m^2 have sides = 5 m ; c'est bon?
OK the following question isn't really significant, but it should be relevant to understanding the problem:
As I said the question itself isn't significant, so it's not important if you understand what it's about, because all it's asking what percentage is are 15 sections of land 1 m^2 in area out of a total area of 25 m^2.In a study, team of researchers intends to use a square frame, 1 m^2 in area, 15 times within each of two 25 m^2 plots of land to study the number of species of plants in that area. Do you think that this is a sufficient number of replicates (repeat experiments) for this study? Give one reason for your answer.
In a study of this nature, you are expected to study an area of at least 30% the size of the total area studied for your results to be considered significant. (That's 30% of each 25 m^2 area of land).
But here's the rub. I'm dumb, lol. I know it should be easy enough to calculate a simple percentage, but I'm a bit old and senile and I can't work out how to deal with this problem.
Firstly how many 1 meter squares are in 25 m^2? I know this is just 25 x 25 which = 625. So is this 625 1 metre squares in an area of 25 m^2?
If so it doesn't matter that you take 15 random 1 m squares from each 25 m^2 area, because you can gather these random squares up to an area of 15 m^2. So the question then becomes what percentage is 15 m^2 out of 25 m^2.
So to do this I simply did 15/25 x 100 = which = 60%. So in this case, as the answer is 60% (I think!) then the the 15 separate 1 metre squares are sufficient for this study.
Can anyone please confirm for me that my maths is correct?
"Twenty five square meters" is NOT "twenty five meters square"!
The first means a region of the same area as a square 5 meters on a side, it could be of any shape. The second means specifically a square 25 m on a side. In any case, and , because of the " " units are both already areas. The ratio of areas is or 60%.