Calculate the Perimeter: Rectangle Composed of Two Equal Squares

Question

Below is a rectangle composed of two squares.

What is its perimeter?

00:04 Let's find the perimeter of the rectangle.

00:07 Remember, in a square, all sides are equal.

00:12 Here, the rectangle is made up of two squares.

00:17 So, let's use the side length given.

00:20 According to the data, the sides are equal.

00:29 The perimeter equals the sum of all its sides.

00:33 Let's plug in the values and calculate the perimeter.

00:37 And there you have it! That's the solution.

In a square, all sides are equal. Therefore:
$AB+BC+CD+DE+EF+FA=6$

Thus, we find out what the side AC is equal to:

$AC=AB+BC$

$AB=6+6=12$

In a rectangle, we know that the opposite sides are equal to each other, therefore:

$AB=FD=12$

Therefore, the formula for the perimeter of the rectangle will look like this:

$2\times AB+2\times CD$

We replace the data:

$2\times12+2\times6=$

$24+12=36$