Calculate Rectangle Perimeter: Finding ABFE Using 4, 5, and 10 Units

Look at the following rectangle:

AAABBBCCCDDDFFFEEEGGGHHH81045

What is the perimeter of the rectangle ABFE?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's find the perimeter of rectangle A-B-F-E. Ready?
00:12 In rectangle G-B-H-C, remember! Opposite sides are the same length.
00:25 For rectangle E-D-F-C, opposite sides are equal too. That's important!
00:36 Segment B-E is the whole side B-C minus segment F-C. You got this!
00:44 Rectangle A-B-E-F also has opposite sides that are equal.
00:52 The entire side is just the sum of its parts. Simple, right?
00:59 In rectangle A-B-C-D, opposite sides are equal once more.
01:09 To find the perimeter, add up all the sides. Easy peasy!
01:21 Now, put the correct numbers into the formula and calculate the perimeter.
01:48 And there you have it! That's the solution to our problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the following rectangle:

AAABBBCCCDDDFFFEEEGGGHHH81045

What is the perimeter of the rectangle ABFE?

2

Step-by-step solution

Based on the given data, we can claim that:

HC=GB=8 HC=GB=8

ED=FC=4 ED=FC=4

AE=BC=10 AE=BC=10

Now we can calculate side AE:

AE=10−4=6 AE=10-4=6

AE=BF=6 AE=BF=6

Now we can calculate side AB which is equal to side CD:

AB=CD=EF=8+5=13 AB=CD=EF=8+5=13

Now we can calculate the perimeter of rectangle ABFE:

13+6+13+6=26+12=38 13+6+13+6=26+12=38

3

Final Answer

38

Practice Quiz

Test your knowledge with interactive questions

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

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