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

2 Answers
Nov 1, 2017

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" * "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 :)

Nov 1, 2017

#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#