Question
If each small square on a grand chess board is 2 cm by 2 cm, each diagonal
of the whole board measures 800 cm. How many small squares are on the
board?
of the whole board measures 800 cm. How many small squares are on the
board?
Answers
Steve
?? The sides appear not to be integers. I guess there must be a border included in the length.
√800 = 20√2
So, I guess there are 10√2 small squares across and down.
√800 = 20√2
So, I guess there are 10√2 small squares across and down.
Damon
If they were 1 by 1 the diagonal would be 400
say n of them along each side
diagonal is then n sqrt 2 =400
n = 400/sqrt 2
but n^2 is number of squares
so
answer = 400^2/2 =200*400 = 80,000
I suspect you mean the diagonal is 80 cm, not 800 by the way
say n of them along each side
diagonal is then n sqrt 2 =400
n = 400/sqrt 2
but n^2 is number of squares
so
answer = 400^2/2 =200*400 = 80,000
I suspect you mean the diagonal is 80 cm, not 800 by the way