Calculate Square Side Length: Finding Dimensions When Area = 81

A square has an area of 81.

How long are its sides?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the side of the square
00:03 Use the formula for calculating the area of a square (side squared)
00:08 Substitute appropriate values and solve for the side
00:15 Extract the root
00:21 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

A square has an area of 81.

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 raised to the second power.

Formula for the area of the square:

A=L2 A=L^2

We calculate the area of the square:

81=L2 81=L^2

We calculate the root:

81=a \sqrt{81}=a

9=a 9=a

3

Final Answer

9 9

Practice Quiz

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Look at the square below:

111111

What is the area of the square?

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