Calculate Side Length: Finding Square Root of Area 36

A square has an area of 36.

How long are its sides?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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!

Step-by-step written solution

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1

Understand the problem

A square has an area of 36.

How long are its sides?

2

Step-by-step solution

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=a2 S=a^2

Let's calculate the area of the square:

36=a2 36=a^2

Let's take the square root:

36=a \sqrt{36}=a

6=a 6=a

3

Final Answer

6 6

Practice Quiz

Test your knowledge with interactive questions

Look at the square below:

111111

What is the area of the square?

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