Calculate the Perimeter: Rectangle Composed of Two Equal Squares

Question

Below is a rectangle composed of two squares.

What is its perimeter?

00:00 Find the perimeter of the rectangle

00:03 In a square all sides are equal

00:08 The rectangle is composed of 2 squares according to the given data

00:13 Let's substitute the side value according to the given data

00:16 Sides are equal according to the given data

00:25 The perimeter of the rectangle equals the sum of its sides

00:28 Let's substitute appropriate values and solve to find the perimeter

00:33 And this is the solution to the question

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:

$2\times12+2\times6=$

$24+12=36$