Calculate Square Root: Finding Side Length When Area = 100

Question

How long are the sides of a square if its area is equal to 100?

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

00:08 We'll use the formula for the area of a square, which is side, times side.

00:16 Next, we'll substitute the given area into the formula to solve for the side.

00:23 Now, take the square root of that number.

00:31 Remember, the square root gives us two possible answers.

00:37 Since a side length must be positive, we choose the positive number.

00:42 And that's how we find the side of the square!

To determine the length of the sides of a square when the area is given, we proceed as follows:

Step 1: Recall the formula for the area of a square: $\text{Area} = \text{side}^2$ .
Step 2: We need to find the side length, so we rearrange the formula to solve for the side: $\text{side} = \sqrt{\text{Area}}$ .
Step 3: Substitute the given area into the formula: $\text{side} = \sqrt{100}$ .
Step 4: Calculate the square root: $\sqrt{100} = 10$ .

Therefore, the length of each side of the square is $10$ .