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?

00:06 First, let's find out if the perimeter of this square is greater than its area.

00:11 We have the side length from our data.

00:14 The perimeter of a square is four times the length of one side.

00:18 Now, let's plug in the side length and calculate the perimeter.

00:22 This value is the perimeter.

00:24 Next, we'll use the formula for the area, which is the side length squared.

00:29 Let's substitute the side length and find the area.

00:38 Our calculation shows that the area is indeed larger than the perimeter.

00:43 And that's how we solve the problem. Great job!

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.