Calculate Parallelogram Perimeter: Finding Total Length with Sides 5 and 2

Question

Given the parallelogram:

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Calculate the perimeter of the parallelogram.

Video Solution

Solution Steps

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
00:14 These sides are also opposite therefore equal
00:20 Let's substitute the side value
00:28 The perimeter of the parallelogram equals the sum of its sides
00:50 Let's substitute appropriate values and solve for the perimeter
00:58 And this is the solution to the question

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 perimeter formula for a parallelogram.
  • Step 3: Perform the calculation with the identified side lengths.

Now, let's work through each step:
Step 1: The problem gives us the side lengths of the parallelogram as AB=5 AB = 5 and BC=2 BC = 2 . Since opposite sides are equal in a parallelogram, we have AB=CD=5 AB = CD = 5 and BC=DA=2 BC = DA = 2 .
Step 2: We'll use the formula for the perimeter of a parallelogram: P=2(a+b) P = 2(a + b) .
Step 3: Substituting the values, we have:

P=2(5+2)=2×7=14 P = 2(5 + 2) = 2 \times 7 = 14

Therefore, the perimeter of the parallelogram is 14\boxed{14}.

The correct multiple-choice answer is 14, which corresponds to choice number 2.

Answer

14