Calculate Parallelogram Perimeter: Given Sides 10 and 8 Units

Given the parallelogram:

101010888AAABBBDDDCCC

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
00:00 Calculate the perimeter of the parallelogram
00:03 Opposite sides are equal in a parallelogram
00:07 Let's substitute the side value
00:15 These sides are also opposite therefore equal
00:19 Let's substitute the side value
00:29 The perimeter of the parallelogram equals the sum of its sides
00:45 Let's substitute appropriate values and solve for the perimeter
00:55 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the parallelogram:

101010888AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

2

Step-by-step solution

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

  • Step 1: Identify the lengths of the sides of the parallelogram.
  • Step 2: Apply the perimeter formula for a parallelogram.
  • Step 3: Perform the necessary calculations.

Now, let's work through each step:
Step 1: The given information tells us that one side AB AB is 10 10 , and the adjacent side AC AC is 8 8 .
Step 2: The perimeter P P of a parallelogram is given by the formula P=2×(base+side) P = 2 \times (\text{base} + \text{side}) .
Step 3: We substitute the lengths we have: P=2×(10+8)=2×18=36 P = 2 \times (10 + 8) = 2 \times 18 = 36

Therefore, the perimeter of the parallelogram is 36 36 .

3

Final Answer

36

Practice Quiz

Test your knowledge with interactive questions

Find the perimeter of the parallelogram using the data below.

555222

🌟 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