Calculate Trapezoid Perimeter: Finding the Sum of Sides 4, 5, 6, and 9

Trapezoid Perimeter with Four Given Sides

What is the perimeter of the trapezoid in the figure?

444555999666

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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 trapezoid
00:03 The perimeter of the trapezoid equals the sum of its sides
00:20 Let's substitute appropriate values and solve to find the perimeter
00:47 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What is the perimeter of the trapezoid in the figure?

444555999666

2

Step-by-step solution

To find the perimeter we will add all the sides:

4+5+9+6=9+9+6=18+6=24 4+5+9+6=9+9+6=18+6=24

3

Final Answer

24

Key Points to Remember

Essential concepts to master this topic
  • Rule: Trapezoid perimeter equals sum of all four side lengths
  • Technique: Add systematically: 4 + 5 + 9 + 6 = 24
  • Check: Count all sides in the figure: 4 sides labeled ✓

Common Mistakes

Avoid these frequent errors
  • Missing one of the four sides in calculation
    Don't add only 3 sides like 4 + 5 + 9 = 18! This gives an incomplete perimeter because trapezoids have 4 sides, not 3. Always identify and add all four side measurements from the figure.

Practice Quiz

Test your knowledge with interactive questions

Calculate the perimeter of the trapezoid according to the following data:

777101010777121212AAABBBCCCDDD

FAQ

Everything you need to know about this question

What makes this shape a trapezoid?

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A trapezoid has exactly one pair of parallel sides. In this figure, you can see the top and bottom sides are parallel, while the left and right sides are slanted.

Do I need to know which sides are parallel to find the perimeter?

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No! For perimeter, you simply add all four side lengths regardless of which sides are parallel. The parallel sides only matter for area calculations.

Why does the order of addition not matter?

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Addition is commutative, meaning 4 + 5 + 9 + 6 gives the same result as 6 + 9 + 5 + 4. You can add the sides in any order you prefer!

How do I make sure I don't miss any sides?

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Trace around the entire perimeter with your finger, counting each side as you go. A trapezoid always has exactly 4 sides, so you should find 4 different measurements.

What if two sides have the same length?

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That's perfectly normal! Even if sides have equal lengths, you still count each side separately when calculating perimeter. Don't skip duplicate values.

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