Question

How do I find the perimeter of a square if I know its area?

Answer 1

Take a square root, then multiply it by 4.

Explanation:

The defining characteristic of a square is that its length is equal to its width. Take a look below:

So, for this particular square, the area is `"length" * "width"`, or `x * x = x^2`. Now, how can you go from this to perimeter?

Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be `2x + 2x` (since length = width), or `4x`.

Therefore, if given an area, all you'd do is take the square root (to get from `x^2` to `x`, and then multiply by 4 to find perimeter.

Hope that helped :)

Answer 2

`s= sqrtA`

`P = 4xxs`

Explanation:

To find the perimeter of square, you just need to know the length of one side, because in a square all the sides are the same length.

If you know the area, find the square root of it to find the side.

`s^2 = A`

`:. s = sqrtA`

Now you multiply by `4`

For example, if the area is `36 cm ^2`

`A= 36`

`s= sqrt36 = 6`

`P = 4 xx6 = 24`