Calculate Parallelogram Perimeter: Given Sides 15 and 10 Units

Parallelogram Perimeter with Adjacent Side Lengths

Given the parallelogram:

151515101010AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's find the perimeter of the parallelogram.
00:06 Remember, in a parallelogram, opposite sides are equal.
00:11 Now, let's substitute the side value here.
00:17 These sides are also opposite, so they are equal too.
00:24 Let's put in the side value for these as well.
00:33 The perimeter is the total of all the sides added together.
00:51 Let's put in the values and find out the perimeter.
00:59 And that's how we solve this problem! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the parallelogram:

151515101010AAABBBDDDCCC

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
  • Step 2: Use the perimeter formula for a parallelogram
  • Step 3: Perform the calculation to find the perimeter

Now, let's work through each step:
Step 1: The problem tells us that the lengths of two adjacent sides of the parallelogram are 15 and 10.
Step 2: We'll use the formula for the perimeter of a parallelogram, which is P=2(a+b) P = 2(a + b) , where a a and b b are the two sides.
Step 3: Plugging in the values, we have P=2(15+10)=2×25=50 P = 2(15 + 10) = 2 \times 25 = 50 .

Therefore, the perimeter of the parallelogram is 50 50 .

3

Final Answer

50

Key Points to Remember

Essential concepts to master this topic
  • Property: Parallelograms have opposite sides that are equal in length
  • Formula: Perimeter = 2(a + b) where a=15 and b=10
  • Check: Count all four sides: 15 + 10 + 15 + 10 = 50 ✓

Common Mistakes

Avoid these frequent errors
  • Adding only the two given sides
    Don't just add 15 + 10 = 25! This only counts two sides when a parallelogram has four sides. The perimeter must include all four sides. Always use P = 2(a + b) to account for both pairs of equal 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 formula P = 2(a + b)?

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Because a parallelogram has two pairs of equal sides! You have one pair of sides with length 15 and another pair with length 10, so you need two of each length.

What if I only know one side length of a parallelogram?

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You need at least two adjacent sides to find the perimeter. In a parallelogram, opposite sides are equal, but adjacent sides can be different lengths.

Is this the same formula for rectangles and squares?

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Yes! Rectangles and squares are special types of parallelograms, so they use the same perimeter formula. For a square, both a and b would be equal.

How can I remember which sides are equal in a parallelogram?

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Think of it as opposite sides are twins - they're exactly the same length! The top and bottom sides match, and the left and right sides match.

What's the difference between area and perimeter?

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Perimeter measures the distance around the outside edge (like walking around the shape). Area measures the space inside the shape (like covering it with paint).

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