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

Question

AAABBBCCCDDDEEEFFFGGGHHH7543

What is the perimeter of the given rectangle ABCD?

Video Solution

Solution Steps

00:00 Calculate the perimeter of the rectangle ABCD
00:06 Opposite sides are equal in the rectangle FECD
00:30 Opposite sides are equal in the rectangle AGDH
00:39 The whole side equals the sum of its parts
00:52 Opposite sides are equal in the rectangle ABCD
00:58 The perimeter of the rectangle equals the sum of its sides
01:07 Substitute the relevant values into the formula and solve for the perimeter
01:27 This is the solution

Step-by-Step Solution

According to the data let's consider:

CF=DE=3 CF=DE=3

AE=BF=5 AE=BF=5

Now we can calculate BC:

5+3=8 5+3=8

AD=BC=8 AD=BC=8

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

GB=HC=4 GB=HC=4

DH=AG=7 DH=AG=7

Hence we can calculate AB:

7+4=11 7+4=11

AB=DC=11 AB=DC=11

Lastly we can calculate the perimeter of the rectangle ABCD:

8+8+11+11= 8+8+11+11=

16+22=38 16+22=38

Answer

38