Rectangle Perimeter Problem: Calculate ABCD with Given Dimensions 9, 5, and 3

ABCD, EFCD, and ABFE are all rectangles.

Calculate the perimeter of rectangle ABCD.

AAABBBCCCDDDEEEFFF395

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Step-by-step video solution

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00:00 Find the perimeter of rectangle ABCD
00:03 Opposite sides are equal in a rectangle
00:10 The whole side equals the sum of its parts
00:24 Opposite sides are equal in a rectangle
00:31 The perimeter of the rectangle equals the sum of its sides
00:47 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

ABCD, EFCD, and ABFE are all rectangles.

Calculate the perimeter of rectangle ABCD.

AAABBBCCCDDDEEEFFF395

2

Step-by-step solution

Since in a rectangle every pair of opposite sides are equal to each other, we can claim that:

AE=BF=5 AE=BF=5

AB=CD=9 AB=CD=9

Now we can calculate side BC:

5+3=8 5+3=8

Since side BC is equal to side AD, it is also equal to 8

Let's calculate the perimeter of rectangle ABCD:

9+8+9+8=18+16=34 9+8+9+8=18+16=34

3

Final Answer

34

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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