Find the Side Length of a Square with Area 25: Basic Geometry Problem

A square has an area of 25.

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)
00:09 We'll substitute appropriate values and solve for the side
00:15 We'll extract the root
00:20 When extracting a root there are always 2 solutions
00:25 The side length must be greater than 0
00:30 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 25.

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 2nd power.

Now, we replace the data in the formula:

25=L2 25=L^2

We extract the square root:

25=L \sqrt{25}=L

L=5 L=5

3

Final Answer

5 5

Practice Quiz

Test your knowledge with interactive questions

Look at the square below:

555

What is the area of the square equivalent to?

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