Calculate Side Length: Finding Square Root of Area 36

Question

A square has an area of 36.

How long are its sides?

00:05 Let's find the length of one side of the square.

00:08 Remember, the area of a square equals the side length times the side length.

00:14 Now, plug in the known numbers, and solve for the side length.

00:20 Great, now take the square root to find the side.

00:28 And that, my friends, is how you solve the problem!

Remember that the area of a square is equal to the side of the square squared

The formula for the area of a square is:

$S=a^2$

Let's calculate the area of the square:

$36=a^2$

Let's take the square root:

$\sqrt{36}=a$

$6=a$

$6$