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

Question

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

2 Answers

Impact of this question

90599 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-01T03:01:10

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:

Self-created

So, for this particular square, the area is $length \cdot width$ $"length" * "width"$ , or $x \cdot x = x^{2}$ $x * x = x^2$ . 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 $2 x + 2 x$ $2x + 2x$ (since length = width), or $4 x$ $4x$ .

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

Hope that helped :)

Answer 2 · 2017-11-01T05:27:22

$s = \sqrt{A}$ $s= sqrtA$

$P = 4 \times s$ $P = 4xxs$

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.

$s^{2} = A$ $s^2 = A$

$:. s = sqrtA$

Now you multiply by $4$

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

$A= 36$

$s= sqrt36 = 6$

$P = 4 xx6 = 24$

Science

Math

Humanities

... and beyond

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

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question