Rectangle Perimeter Problem: Calculate ABCD with Given Dimensions 9, 5, and 3

Question

ABCD, EFCD, and ABFE are all rectangles.

Calculate the perimeter of rectangle ABCD.

00:00 Find the perimeter of rectangle ABCD

00:03 Opposite sides are equal in a rectangle

00:10 The whole side equals the sum of its parts

00:24 Opposite sides are equal in a rectangle

00:31 The perimeter of the rectangle equals the sum of its sides

00:47 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:

$AE=BF=5$

$AB=CD=9$

Now we can calculate side BC:

$5+3=8$

Since side BC is equal to side AD, it is also equal to 8

Let's calculate the perimeter of rectangle ABCD:

$9+8+9+8=18+16=34$