I (almost) agree Tri, but pull out your calculator and punch in
1 / 0.0254 and look at the answer.
Right, but 1/0.0254 is a unit factor, it is not the amount of quants in a meter. You would use this unit factor for conversions, but 1/0.0254 is not the quotient. 1 is the dividend, 0.0254 is the divisor, and 39.37 is the quotient(or answer). I understand your point, and I agree that it is a subtle difference, but by misunderstanding the concept of unit factors in
dimensional analysis is perhaps why delinked end result was wrong:
160 meter-square = ( (1/0.00064516) x 160 ) quants-square
Here he tried to make a unit factor by squaring the denominator of an existing unit factor, and that is wrong. There are actually several things wrong with his calculations but I dont have the time or inclination to show them here.
if you wanted to use unit factors and dim analysis to solve this problem you would use
160m*(100cm/1m)*(1 quant/2.54cm)=6299.21 quants in 160 meters
Now just square the 6299 and you get approx. 40,000,000 square quants as I have said previously.
If I do a terrain of length 20,000,000 triangles and width 20,000,00 triangles that should give me an area of 160 square meters is that right?,
Well that depends upon the size of your triangles, (assuming they are all uniformly the same). Your whole terrain, if it is square, should measure 6299 quants on each side. There would be much less than 20 million triangles on each side.... See what I mean?
The Area of a rectangle is A=l*w, so 40,000,000 = l*w.