The TOTAL number including squares bigger than 1x1 -- the answer is not 100
2007-11-06 07:00:49 · 3 answers · asked by A A 3 in Science & Mathematics ➔ Mathematics
1^2 + 2^2 + ... + 10^2.
Why? Because there are 10 possible starting points on each side for 1x1 squares, 9 possibilities for 2x2 squares, and so on.
What I mean by "starting point" should be fairly clear. :)
2007-11-06 10:54:20 · answer #1 · answered by Curt Monash 7 · 1⤊ 0⤋
Would you please provide the dimentions ? The checker board and the squares don't have to have same units(it could be cm, ft.). For example for a checker board 10" x 10" could accommodate 4 of 5"x5" squares. If allow non-integer values for the small squares like 2.5", then you could accommodate 16 squares. What if the checker board is measured in meters and small squares in inches?
2007-11-06 07:11:27 · answer #2 · answered by vcs7578 5 · 1⤊ 1⤋
The formula is f(n)=(n*(2n + 1)*(n+1))/6
so f(10) = (10*(2*10 + 1)*(10+1))/6 = 385
2007-11-06 07:04:39 · answer #3 · answered by mathguru 3 · 0⤊ 0⤋