Calculate the Perimeter: Rectangle ABCD with Sides 4, 6, and 15 Units

AAABBBCCCDDDEEEFFF4615

What is the perimeter of the given rectangle ABCD?

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Step-by-step video solution

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00:00 Calculate the perimeter of the rectangle
00:04 Opposite sides are equal in a rectangle
00:23 The whole side equals the sum of its parts
00:32 Opposite sides are equal in a rectangle
00:40 The perimeter of the rectangle equals the sum of its sides
00:50 Substitute the relevant values into the formula and proceed to solve to determine the perimeter
01:10 This is the solution

Step-by-step written solution

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1

Understand the problem

AAABBBCCCDDDEEEFFF4615

What is the perimeter of the given rectangle ABCD?

2

Step-by-step solution

Given that in the smaller rectangle ED=CF=4 (each pair of opposite sides in the rectangle are equal)

We can therefore calculate for the rectangle ABCD that BC=6+4=10

Now we can state in the rectangle ABCD that BC=AD=10

Next we calculate the perimeter of the rectangle by adding together all of the sides:

DC=AB=15

Hence the perimeter of the rectangle ABCD is equal to:

10+10+15+15=20+30=50 10+10+15+15=20+30=50

3

Final Answer

50

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?
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