Find the Side Length of a Square with Area 49: Square Root Problem

A square has an area of 49.

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)
00:08 We'll substitute appropriate values and solve to find the side
00:14 Extract the root
00:18 When extracting a root there are always 2 solutions
00:22 The length of the side must be greater than 0
00:27 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 49.

How long are its sides?

2

Step-by-step solution

Since the area of the square is equal to the side raised to the 2nd power, we use the formula to find the side:

49=a2 49=a^2

a=7 a=7

3

Final Answer

7 7

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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