Square Root Problem: Finding Side Length When Area = 100

A square has an area of 100.

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 We'll use the formula for calculating the area of a square (side squared)
00:07 We'll substitute appropriate values and solve to find the side
00:14 Take the square root
00:22 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

A square has an area of 100.

How long are its sides?

2

Step-by-step solution

Remember that the area of the square is equal to the side of the square raised to the 2nd power.

We substitute the data into the formula:

100=L2 100=L^2

Then we calculate the root:

100=L \sqrt{100}=L

L=10 L=10

3

Final Answer

10 10

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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