Calculate Rectangle Perimeter: Finding the Border Length of EFCD (3×5)

Look at the following rectangle:
AAABBBCCCDDDEEEFFF735

What is the perimeter of the rectangle EFCD?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the perimeter of the rectangle EFCD
00:03 Opposite sides are equal in a rectangle
00:11 The segment (ED) equals the entire side (AD) minus the segment (AE)
00:16 Substitute in the relevant values to the formula and proceed to solve for ED
00:31 This is the value of the side ED, opposite sides in a rectangle are equal
00:42 Opposite sides in a rectangle are equal
00:55 The perimeter of the rectangle equals the sum of its sides
01:04 Substitute in the relevant values and proceed to solve for the perimeter
01:28 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the following rectangle:
AAABBBCCCDDDEEEFFF735

What is the perimeter of the rectangle EFCD?

2

Step-by-step solution

Since every pair of opposite sides are equal in a rectangle, we know that:

BC=AD=5 BC=AD=5

Now we can calculate side ED:

ADAE=ED AD-AE=ED

Let's substitute in the known data:

53=ED 5-3=ED

ED=2 ED=2

Side ED is equal to side FC and therefore also equal to 2.

We also know that:

AB=CD=EF=7 AB=CD=EF=7

Now we can calculate the perimeter of rectangle EFCD:

2+7+2+7=4+14=18 2+7+2+7=4+14=18

3

Final Answer

36

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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