Calculate the Perimeter: Rectangle Composed of Two Equal Squares

Below is a rectangle composed of two squares.

666AAABBBCCCDDDEEEFFF

What is its perimeter?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Below is a rectangle composed of two squares.

666AAABBBCCCDDDEEEFFF

What is its perimeter?

2

Step-by-step solution

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

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

AC=AB+BC AC=AB+BC

AB=6+6=12 AB=6+6=12

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

AB=FD=12 AB=FD=12

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

2×AB+2×CD 2\times AB+2\times CD

We replace the data:

2×12+2×6= 2\times12+2\times6=

24+12=36 24+12=36

3

Final Answer

36

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

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