Question

The length of the diagonal of a square is 22. What is the length of each side?

Answer 1

`11sqrt(2)`

Explanation:

The formula for the diagonal of a square is:

`d = s sqrt(2)`

In this formula, `d` represents the diagonal and `s` represents a side length. Since we already have the length of the diagonal, we can substitute it for `d` and solve for `s`:

`22/sqrt(2) = (s sqrt(2))/sqrt(2)`

`22/sqrt(2) * sqrt(2)/sqrt(2) = s`

`(22sqrt(2))/2 = s`

`11sqrt(2) = s`