Calculate the Perimeter: Rectangle ABCD with Three Internal Subdivisions

Question

Rectangle ABCD contains three other rectangles inside it.

Calculate the perimeter of ABCD.

00:00 Find the perimeter of rectangle ABCD

00:03 Opposite sides are equal in a rectangle

00:11 The whole side equals the sum of its parts

00:17 Opposite sides are equal in a rectangle

00:36 The perimeter of the rectangle equals the sum of its sides

01:01 And this is the solution to the question

Since in a rectangle every pair of opposite sides are equal to each other, we can claim that:

$GH=AE=DF=9$

Now we can calculate side CD:

$9+5=14$

Since side CD is equal to side AB, it is also equal to 14

$BC=AD=7$

Let's calculate the perimeter of rectangle ABCD:

$7+14+7+14=14+28=42$