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?

00:00 Find the side of the square

00:03 We'll use the formula for calculating the area of a square (side squared)

00:11 We'll substitute appropriate values and solve to find the side

00:18 Take the square root

00:26 When taking a square root there are always 2 solutions

00:32 The side length must be greater than 0

00:36 And this is the solution to the question

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 $10$ .