Calculate Parallelogram Perimeter: Given Sides 20 and 15 Units

Given the parallelogram:

202020151515AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

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Step-by-step video solution

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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
00:13 These sides are also opposite therefore equal
00:18 Let's substitute the side value
00:29 The perimeter of the parallelogram equals the sum of its sides
00:47 Let's substitute appropriate values and solve for the perimeter
00:53 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Given the parallelogram:

202020151515AAABBBDDDCCC

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: Use the perimeter formula for a parallelogram, P=2(a+b) P = 2(a + b) .
  • Step 3: Perform the calculation to find the perimeter.

Let's proceed with the solution:

Step 1: The problem provides the side lengths of the parallelogram as AB=20 AB = 20 units and AD=15 AD = 15 units.

Step 2: Use the formula for the perimeter of a parallelogram, P=2(a+b) P = 2(a + b) , where a=20 a = 20 and b=15 b = 15 .

Step 3: Plug the side lengths into the formula:

P=2(20+15)=2×35 P = 2(20 + 15) = 2 \times 35

Calculating further, we get:

P=70 P = 70

Therefore, the perimeter of the parallelogram is 70 70 .

3

Final Answer

70

Practice Quiz

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Find the perimeter of the parallelogram using the data below.

555222

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