Square with Side Length 4: Comparing Perimeter vs Area

Look at the square below:

444

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 The side length according to the given data
00:07 The perimeter of the square equals the sum of its sides
00:11 We'll substitute appropriate values and solve to find the perimeter
00:14 This is the perimeter of the square
00:19 We'll use the formula for calculating the area of a square (side squared)
00:23 We'll substitute appropriate values and solve to find the area
00:30 According to our calculation, the square's perimeter and area are equal
00:36 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:

444

Is the perimeter of the square greater than its area?

2

Step-by-step solution

Let's remember that the area of the square is equal to the side of the square raised to the second power.

Let's remember that the perimeter of the square is equal to the side multiplied by 4.

We calculate the area of the square:

A=42=16 A=4^2=16

We calculate the perimeter of the square:

4×4=16 4\times4=16

Therefore, the perimeter is not greater than the area (they are equal).

3

Final Answer

False

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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