Calculate Trapezoid Perimeter: Finding the Sum of 4, 6, 9, and 13 Units

Perimeter Formula with Four-Sided Polygons

Given the trapezoid:

444999666131313

What is its perimeter?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's calculate the perimeter of the trapezoid.
00:06 The perimeter is found by adding up all the sides of the trapezoid.
00:16 Now, substitute the given values for the sides, and let's add them together to find the perimeter.
00:29 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the trapezoid:

444999666131313

What is its perimeter?

2

Step-by-step solution

The problem requires calculating the perimeter of the trapezoid by summing the lengths of its sides. Based on the given trapezoid diagram, the side lengths are clearly marked as follows:

  • First side: 4 4
  • Second side: 9 9
  • Third side: 6 6
  • Fourth side: 13 13

According to the formula for the perimeter of a trapezoid:

P=a+b+c+d P = a + b + c + d

Substituting the respective values:

P=4+9+6+13 P = 4 + 9 + 6 + 13

Calculating the sum, we find:

P=32 P = 32

Thus, the perimeter of the trapezoid is 32 32 .

3

Final Answer

32

Key Points to Remember

Essential concepts to master this topic
  • Perimeter Rule: Add all side lengths together for complete boundary
  • Addition Technique: Sum systematically: 4 + 9 + 6 + 13 = 32 units
  • Verification: Count all four sides and confirm each measurement is included โœ“

Common Mistakes

Avoid these frequent errors
  • Missing or double-counting sides
    Don't count only three sides or accidentally use one side twice = wrong perimeter! This happens when students don't systematically identify each side. Always trace around the entire shape once, labeling each side as you add it.

Practice Quiz

Test your knowledge with interactive questions

Given the trapezoid:

999121212555AAABBBCCCDDDEEE

What is the area?

FAQ

Everything you need to know about this question

Do I need to know what type of trapezoid this is?

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No! For perimeter, it doesn't matter if it's an isosceles, right, or scalene trapezoid. You simply add all four side lengths regardless of the trapezoid's special properties.

Why can't I just use a formula like for rectangles?

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Unlike rectangles where opposite sides are equal, trapezoids can have four different side lengths. There's no shortcut - you must add each individual side: 4 + 9 + 6 + 13.

What if the sides were given in a different order?

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The order doesn't matter for addition! Whether you calculate 4 + 9 + 6 + 13 or 13 + 6 + 4 + 9, you'll get the same perimeter of 32 units.

How do I identify each side from the diagram?

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Look for the numbers labeled on each edge of the trapezoid. Trace around the shape systematically - this one has sides labeled 4, 9, 6, and 13 units.

What units should my answer have?

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Use the same units as the given measurements. Since the sides are in units, your perimeter is 32 units. If they were in cm, your answer would be 32 cm.

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