Question

a square snakes and ladders board has 100 squares and a diagonal of length 35cm

find the length of side of one of the small squares

Answer 1

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 $\sqrt{2}$, therefore, side length of square will be $\frac{35}{\sqrt{2}}$

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 $\frac{35}{10\sqrt{2}}$.  

$\text{Side length of each small square}=\frac{35}{10\sqrt{2}}$

$\text{Side length of each small square}=\frac{7}{2\sqrt{2}}$

$\text{Side length of each small square}=2.4748737341529163\approx 2.475$

Therefore, length of each side of a small square will be 2.475 cm.