Square Geometry: Compare Perimeter and Area of 10-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

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

00:12 Let's substitute appropriate values and solve to find the perimeter

00:15 This is the perimeter of the square

00:20 Let's use the formula for calculating the area of a square (side squared)

00:26 Let's substitute appropriate values and solve to find the area

00:35 The perimeter of the square is less than its area

00:40 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:

$A=10^2=100$

We calculate the perimeter of the square:

$10\times4=40$

Therefore, the perimeter is not greater than the area.