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

2.475 cm.

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
`√(2)`, therefore, side length of square will be
`(35)/(√(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
`(35)/(10√(2))`.

`\text{Side length of each small square}=(35)/(10√(2))`

`\text{Side length of each small square}=(7)/(2√(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.