Calculate Side Length: Finding Square Root of Area 9

Question

Below is a square with an area of 9.

How long are the sides of the square?

Video Solution

Solution Steps

00:00 Find the side of the square
00:03 We'll use the formula for calculating the area of a square (side squared)
00:09 We'll substitute appropriate values and solve for the side
00:17 We'll extract the root
00:26 And this is the solution to the question

Step-by-Step Solution

Remember that the area of the square is equal to the side of the square raised to the second power.

The formula for the area of the square is:

A=L2 A=L^2

We calculate the area of the square:

9=a2 9=a^2

We extract the root:

9=L \sqrt{9}=L

3=L 3=L

Answer

3 3