How do I find the perimeter of a square from the area of the square?

2 Answers

Perimeter=4×sqrt(Area=4×Area

Explanation:

It's quite easy to find the perimeter of a square if you know it's area. It goes as follows :-
Suppose the side of the square you have is ss and let the area be aa
We know that the formula for the area of a square is side^2side2
Area =side^2=side2
:. a = s^2
:. s = sqrta
So we will obtain the side of the square.
Now we know that the formula for the perimeter of a square is 4 × side.
:. Perimeter = 4 × s
:. Perimeter = 4 × sqrta

Mar 21, 2018

"Perimeter" = 4\sqrt("Area")

Explanation:

If the side of the square was x the area would be x^2.

Therefore, if you knew what the area was, you can square root the value to get the length of one side, as \sqrt(x^2) = x = \sqrt("Area").

Here, we ignore the negative value of the square root as lengths cannot be negative.

Since the perimeter of the square is equal to 4x you can substitute x with \sqrt("Area") and get:

"Perimeter" = 4\sqrt("Area")

Hope that makes sense!