Calculate Rectangle Perimeter: Adding 3, 4, 5, and 7 Unit Segments

Question

What is the perimeter of the given rectangle ABCD?

00:00 Calculate the perimeter of rectangle ABCD

00:06 Opposite sides are equal in rectangle FECD

00:30 Opposite sides are equal in rectangle AGDH

00:39 The whole side equals the sum of its parts

00:52 Opposite sides are equal in rectangle ABCD

00:58 The perimeter of the rectangle equals the sum of its sides

01:07 Let's substitute appropriate values and solve for the perimeter

01:27 And this is the solution to the problem

According to the data let's consider:

$CF=DE=3$

$AE=BF=5$

Now we can calculate BC:

$5+3=8$

$AD=BC=8$

Next we pay attention to any additional information and it seems that:

$GB=HC=4$

$DH=AG=7$

Hence we can calculate AB:

$7+4=11$

$AB=DC=11$

Lastly we can calculate the perimeter of the rectangle ABCD:

$8+8+11+11=$

$16+22=38$