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

AAABBBCCCDDDEEEFFFGGGHHH7543

What is the perimeter of the given rectangle ABCD?

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Step-by-step video solution

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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!

Step-by-step written solution

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1

Understand the problem

AAABBBCCCDDDEEEFFFGGGHHH7543

What is the perimeter of the given rectangle ABCD?

2

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

3

Final Answer

38

Practice Quiz

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Calculate the perimeter of the rectangle below.

181818222

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