Calculate Rectangle Perimeter: Finding the Distance Around ABCD with Dimensions 6, 4, and 3

Question

What is the perimeter of the rectangle ABCD?

00:00 Calculate the perimeter of rectangle ABCD

00:04 Opposite sides are equal in rectangle JHBC

00:15 Opposite sides are equal in rectangle AGDI

00:25 Opposite sides are equal in rectangle FECD

00:42 Opposite sides are equal in rectangle AFBE

00:48 Opposite sides are equal in rectangle GHIJ

00:58 The whole side equals the sum of its parts

01:12 Opposite sides are equal in rectangle ABCD

01:16 The whole side equals the sum of its parts

01:19 The perimeter of the rectangle equals the sum of its sides

01:29 We'll substitute appropriate values and solve for the perimeter

01:51 And this is the solution to the question

According to the given data:

$JC=HB=3$

$DI=AG=3$

$FD=EC=3$

$BE=AF=4$

$GH=JI=6$

Now we can calculate sides AB and DC

$3+6+3=9+3=12$

And also sides AD and BC

$4+3=7$

Now we can calculate the perimeter of rectangle ABCD:

$12+7+12+7=24+14=38$