Compare Perimeter vs Area: 5-Unit Square Analysis

Question

Look at the square below:

Is the perimeter of the square greater than the area of the square?

00:00 Is the perimeter of the square larger than its area?

00:03 Side length according to the 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 perimeter of the square

00:18 Let's use the formula for calculating the area of a square (side squared)

00:23 Let's substitute appropriate values and solve for the area

00:32 According to our calculation, the area is larger than the perimeter

00:37 And this is the solution to the question

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

Keep in mind that the circumference of the square is equal to the side of the square times 2.

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

Calculate the area of the square:

$A=5^2=25$

Then calculate the perimeter of the square:

$5\times4=20$

Therefore, the perimeter is not greater than the area.