Answer:
2.475 cm.
Step-by-step explanation:
We have been that a square snakes and ladders board has 100 squares and a diagonal of length 35 cm. We are asked to find the length of one of the small squares.
Since we know that diagonal of a square is the product of side of square and [tex]\sqrt{2}[/tex], therefore, side length of square will be [tex]\frac{35}{\sqrt{2}}[/tex]
We are told that there are 100 small squares, so each side must have 10 small squares. Therefore, measure of each small side of square will be [tex]\frac{35}{10\sqrt{2}}[/tex].
[tex]\text{Side length of each small square}=\frac{35}{10\sqrt{2}}[/tex]
[tex]\text{Side length of each small square}=\frac{7}{2\sqrt{2}}[/tex]
[tex]\text{Side length of each small square}=2.4748737341529163\approx 2.475[/tex]
Therefore, length of each side of a small square will be 2.475 cm.
