Calculate Parallelogram Perimeter: Given Sides 14 and 11 Units

Question

Given the parallelogram:

141414111111AAABBBDDDCCC

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
00:09 Let's substitute the side value
00:15 These sides are also opposite therefore equal
00:20 Let's substitute the side value
00:32 The perimeter of the parallelogram equals the sum of its sides
00:48 Let's substitute appropriate values and solve for the perimeter
00:57 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 side lengths of the parallelogram.
  • Step 2: Apply the perimeter formula for a parallelogram.
  • Step 3: Calculate the perimeter using the given side lengths.

Now, let's work through each step:
Step 1: The side lengths given are a=14 a = 14 and b=11 b = 11 .
Step 2: Apply the formula for the perimeter of a parallelogram, which is P=2(a+b) P = 2(a + b) .
Step 3: Substitute the values into the formula: P=2(14+11)=2×25=50 P = 2(14 + 11) = 2 \times 25 = 50 .

Therefore, the solution to the problem is P=50 P = 50 .

Answer

50