Calculate Rectangle Perimeter: Finding the Distance Around ABCD with Dimensions 6, 4, and 3

AAABBBCCCDDDEEEFFFGGGIIIHHHJJJ64333

Determine the perimeter of the rectangle ABCD?

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Step-by-step video solution

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00:00 Calculate the perimeter of the rectangle ABCD
00:04 Opposite sides are equal in the rectangle JHBC
00:15 Opposite sides are equal in the rectangle AGDI
00:25 Opposite sides are equal in the rectangle FECD
00:42 Opposite sides are equal in the rectangle AFBE
00:48 Opposite sides are equal in the rectangle GHIJ
00:58 The whole side equals the sum of its parts
01:12 Opposite sides are equal in the rectangle ABCD
01:16 The whole side equals the sum of its parts
01:19 The perimeter of the rectangle equals the sum of its sides
01:29 Substitute in the relevant values and proceed to solve for the perimeter
01:51 This is the solution

Step-by-step written solution

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1

Understand the problem

AAABBBCCCDDDEEEFFFGGGIIIHHHJJJ64333

Determine the perimeter of the rectangle ABCD?

2

Step-by-step solution

According to the given data:

JC=HB=3 JC=HB=3

DI=AG=3 DI=AG=3

FD=EC=3 FD=EC=3

BE=AF=4 BE=AF=4

GH=JI=6 GH=JI=6

Now we can calculate sides AB and DC

3+6+3=9+3=12 3+6+3=9+3=12

And also sides AD and BC

4+3=7 4+3=7

Now we can calculate the perimeter of rectangle ABCD:

12+7+12+7=24+14=38 12+7+12+7=24+14=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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