Calculate Parallelogram Perimeter: Finding Total Length with Sides 17 and 13

Question

Given the parallelogram:

171717131313AAABBBDDDCCC

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
00:18 Let's substitute the side value
00:28 The perimeter of the parallelogram equals the sum of its sides
00:46 Let's substitute appropriate values and solve for the perimeter
00:55 And this is the solution to the question

Step-by-Step Solution

To find the perimeter of the parallelogram, we apply the formula P=2(a+b) P = 2(a + b) , where a a and b b are the lengths of adjacent sides.

Step-by-step:

  • Step 1: Identify the side lengths. From the given problem, a=17 a = 17 and b=13 b = 13 .
  • Step 2: Use the perimeter formula P=2(a+b) P = 2(a + b) .
  • Step 3: Substitute the given values into the formula.

Calculation:

P=2(17+13) P = 2(17 + 13)

P=2×30 P = 2 \times 30

P=60 P = 60

Therefore, the perimeter of the parallelogram is 60 60 .

Answer

60