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

Question

Look at the square below:

Is the perimeter of the square greater than its area?

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

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

$6^2=36$

The perimeter can also be calculated:

$6\times4=24$

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