Calculate Parallelogram Perimeter: Given Sides 11 and 7 Units

Parallelogram Perimeter with Given Adjacent Sides

Given the parallelogram:

111111777AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's calculate the perimeter of a parallelogram.
00:06 Remember, opposite sides in a parallelogram are equal.
00:10 Now, let's plug in the length of one side.
00:16 The other sides are opposite, so they are equal too.
00:21 Let's substitute the length of this side as well.
00:28 To find the perimeter, add up all the side lengths.
00:44 Substitute the values and calculate the perimeter.
00:55 And that's how you solve for the perimeter of a parallelogram!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the parallelogram:

111111777AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given side lengths of the parallelogram.
  • Step 2: Apply the formula for the perimeter of a parallelogram.
  • Step 3: Calculate the perimeter using the identified side lengths.

Now, let's work through each step:
Step 1: The problem states that the lengths of sides AB and BC in the parallelogram are 11 and 7 units, respectively.
Step 2: The formula for the perimeter P P of a parallelogram is P=2×(side 1+side 2) P = 2 \times (\text{side 1} + \text{side 2}) .
Step 3: Substituting the given lengths into the formula, we have:
P=2×(11+7)=2×18=36 P = 2 \times (11 + 7) = 2 \times 18 = 36 .

Therefore, the perimeter of the parallelogram is 36\mathbf{36} units.

3

Final Answer

36

Key Points to Remember

Essential concepts to master this topic
  • Property: Opposite sides of parallelograms are equal in length
  • Formula: Perimeter = 2 × (side 1 + side 2) = 2 × (11 + 7) = 36
  • Check: Count all four sides: 11 + 7 + 11 + 7 = 36 ✓

Common Mistakes

Avoid these frequent errors
  • Adding only the two given sides
    Don't just add 11 + 7 = 18 as the final answer! This only counts two sides when parallelograms have four sides. Always remember that opposite sides are equal, so multiply by 2: P = 2 × (11 + 7) = 36.

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 formula?

+

A parallelogram has four sides, but opposite sides are equal! So if you know two adjacent sides (11 and 7), you automatically know all four sides: 11, 7, 11, 7. The formula P=2×(a+b) P = 2 \times (a + b) is a shortcut for adding all four.

What if I'm only given one side length?

+

You need both adjacent sides! Unlike squares or rectangles where knowing one side might be enough, parallelograms can have different side lengths. You must have both measurements to find the perimeter.

Are parallelograms the same as rectangles?

+

Rectangles are special parallelograms where all angles are 90°. The perimeter formula works the same way: P=2×(length+width) P = 2 \times (length + width) .

How can I remember the parallelogram properties?

+

Think "parallel = equal"! Since opposite sides are parallel, they're also equal in length. This makes counting easier: just double the sum of two adjacent sides.

What if the diagram shows different measurements?

+

Always use the given numerical values in the problem, not what you estimate from the drawing. Diagrams aren't always to scale, so trust the labeled measurements: 11 and 7 units.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Parallelogram questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations