Compare Perimeter and Area: Analysis of a 6-Unit Square

Look at the square below:

666

Is the perimeter of the square greater than its area?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Is the perimeter of the square greater than its area?
00:03 Side length according to the given data
00:07 The perimeter of the square equals the sum of its sides
00:11 Let's substitute appropriate values and solve for the perimeter
00:14 This is the square's perimeter
00:17 Let's use the formula for calculating square area (side squared)
00:23 Let's substitute appropriate values and solve for the area
00:30 The square's perimeter is less than its area
00:35 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the square below:

666

Is the perimeter of the square greater than its area?

2

Step-by-step solution

Given that we have one side equal to 6, we can multiply and calculate the area:

62=36 6^2=36

The perimeter can also be calculated:

6×4=24 6\times4=24

From this we can conclude that the area of the square is greater than its perimeter:36>24 36 > 24

3

Final Answer

No

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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