Square with Side 4.5: Comparing Perimeter vs Area Measurements

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 greater than its area?

00:03 Side length according to the given data

00:06 The perimeter of the square equals the sum of its sides

00:10 Let's substitute appropriate values and solve for the perimeter

00:13 This is the square's perimeter

00:17 Let's use the formula for calculating square area (side squared)

00:21 Let's substitute appropriate values and solve for the area

00:29 The square's perimeter is less than its area

00:34 And this is the solution to the question

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:

$A=4.5^2=20.25$

We calculate the perimeter of the square:

$4.5\times4=18$

Therefore, the perimeter is not greater than the area.