Calculate Parallelogram Perimeter: Given Sides 10 and 8 Units

Question

Given the parallelogram:

101010888AAABBBDDDCCC

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
00:15 These sides are also opposite therefore equal
00:19 Let's substitute the side value
00:29 The perimeter of the parallelogram equals the sum of its sides
00:45 Let's substitute appropriate values and solve for the perimeter
00:55 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the lengths of the sides of the parallelogram.
  • Step 2: Apply the perimeter formula for a parallelogram.
  • Step 3: Perform the necessary calculations.

Now, let's work through each step:
Step 1: The given information tells us that one side AB AB is 10 10 , and the adjacent side AC AC is 8 8 .
Step 2: The perimeter P P of a parallelogram is given by the formula P=2×(base+side) P = 2 \times (\text{base} + \text{side}) .
Step 3: We substitute the lengths we have: P=2×(10+8)=2×18=36 P = 2 \times (10 + 8) = 2 \times 18 = 36

Therefore, the perimeter of the parallelogram is 36 36 .

Answer

36