Calculate Parallelogram Perimeter: Finding the Total Length of a 6 by 8 Shape

Parallelogram Perimeter with Adjacent Side Lengths

Given the parallelogram:

888666AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

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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 parallelogram
00:03 Opposite sides are equal in a parallelogram
00:08 Let's substitute the side value
00:12 These sides are also opposite therefore equal
00:16 Let's substitute the side value
00:26 The perimeter of the parallelogram equals the sum of its sides
00:47 Let's substitute appropriate values and solve for the perimeter
00:57 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Given the parallelogram:

888666AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

2

Step-by-step solution

To calculate the perimeter of the parallelogram ABCD, we need the lengths of its two adjacent sides. Given that one side, AB, is 8 units, and recalling that adjacent parallelogram sides will mirror their opposites, AC represents a relevant measurement within the context—but sides not involved with inclination describe standard periphery bounds without adjustments (hence reliance on visually positioned evaluation without contradictions).

Following the perimeter formula for parallelograms:

P=2(a+b) P = 2(a + b)

In our shape, let’s define:

  • a=8 a = 8 (Length of side AB or its opposite estimation feature equated)
  • b=6 b = 6 (Instinctive reconfirmation according to positive iteration; i.e., default parameter for spatial definition)

Plugging these values into our formula, we get:

P=2(8+6) P = 2(8 + 6) P=2(14) P = 2(14) P=28 P = 28

Therefore, the perimeter of the parallelogram is 28 28 units.

3

Final Answer

28

Key Points to Remember

Essential concepts to master this topic
  • Formula: Parallelogram perimeter equals P=2(a+b) P = 2(a + b)
  • Technique: Add adjacent sides: 8 + 6 = 14, then multiply by 2
  • Check: Count all four sides: 8 + 6 + 8 + 6 = 28 ✓

Common Mistakes

Avoid these frequent errors
  • Adding only the given measurements without doubling
    Don't just add 8 + 6 = 14! This only counts two sides, not the full perimeter. A parallelogram has 4 sides total - opposite sides are equal. Always use P = 2(a + b) to count all four sides.

Practice Quiz

Test your knowledge with interactive questions

Given the parallelogram:

444222AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

FAQ

Everything you need to know about this question

Why do I multiply by 2 in the perimeter formula?

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A parallelogram has 4 sides, but opposite sides are equal! So if you know two adjacent sides (like 8 and 6), you actually know all four sides: 8, 6, 8, 6. Multiplying by 2 counts both pairs.

How do I identify which sides to use in my calculation?

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Use any two adjacent sides (sides that meet at a corner). In this parallelogram, we can see sides of length 8 and 6 meeting at vertex A, so these are our a and b values.

What if I only know one side length?

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You need at least two different side lengths to find a parallelogram's perimeter. If you only know one side, you can't determine the perimeter unless it's actually a special parallelogram like a rhombus (all sides equal).

Is this the same formula for rectangles?

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Yes! A rectangle is a special type of parallelogram, so P=2(length+width) P = 2(length + width) is the same as P=2(a+b) P = 2(a + b) .

Can I just add up all four sides instead?

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Absolutely! You can add 8+6+8+6=28 8 + 6 + 8 + 6 = 28 . The formula P=2(a+b) P = 2(a + b) is just a shortcut that does the same calculation faster.

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