Square Analysis: Comparing Perimeter vs Area in a 2-Unit Square

Look at the square below:

222

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 the square's area (side squared)
00:20 Let's substitute appropriate values and solve for the area
00:26 The square's perimeter is greater than its area
00:31 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Look at the square below:

222

Is the perimeter of the square greater than its area?

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.

Remember that the perimeter of the square is equal to the side of the square multiplied by 4.

We calculate the area of the square:

A=22=4 A=2^2=4

We calculate the perimeter of the square:

2×4=8 2\times4=8

Therefore, the perimeter is greater than the area.

3

Final Answer

Yes

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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