Question

If the area of a square is 225 cm2, what is perimeter?

Answer 1

See a solution process below:

Explanation:

The formula for the area of a square is:

`A = s^2`

Where:

`A` is the area of the square.

`s` is the length of the side of a square.

Substituting and solving for `s` gives:

`225" cm"^2 = s^2`

We can take the square root of each side of the equation giving:

`sqrt(225" cm"^2) = sqrt(s^2)`

`15" cm" = s`

`s = 15" cm"`

The formula for the perimeter of a square is:

`p = 4s`

Where:

`p` is the perimeter of the square.

`s` is the length of the side of a square.

Substituting for `s` from the solution for the previous formula and calculating `p` gives:

`p = 4 xx 15" cm"`

`p = 60" cm"`