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A 2 by 2 meter square is the same as a 200 by 200 centimeter square. Multiply 200 by 200 to find that you'd need 40 thousand 1-centimeter squares.
You would need 450 tiles
200. This does not include additional tiles that may need to be cut or split to fit the exact shape.
196 full squares. If you can cut the 6x6 squares in thirds to fill the excess then it's 200 2/3.
There are many ways to do this, so please understand that this is only one approach.You want to have a convenient way to represent an eighth of 200, so take some graph paper and count out squares in a row (200 / 8 = 25).You need eight total rows like that to make 200, so count up 8 squares in each column.Put a border around your 25 x 8 squares. That's your 200 total.Now color in 5 of the 8 rows.You'll notice that you've colored in 5 x 25 = 125 squares, which is 5/8ths of 200.