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

Question

What is the perimeter of the given rectangle ABCD?

00:04 Let's find the perimeter of rectangle ABCD.

00:10 Remember, in a rectangle, opposite sides are equal. For example, sides F E, and C D, are the same.

00:34 Also, in another example, sides A G, and D H, are equal too.

00:43 You can think of the whole side as being equal to the sum of its parts.

00:56 In rectangle ABCD, opposite sides are once again equal.

01:02 To find the perimeter, just add up all the sides together.

01:11 Now, substitute the given values into the formula, and solve for the perimeter.

01:31 And there you have it, that's how we solve 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:

$8+8+11+11=$

$16+22=38$