Calculate Parallelogram Perimeter: Given Sides 15 and 10 Units

Question

Given the parallelogram:

151515101010AAABBBDDDCCC

Calculate the perimeter of the parallelogram.

Video Solution

Solution Steps

00:03 Let's find the perimeter of the parallelogram.
00:06 Remember, in a parallelogram, opposite sides are equal.
00:11 Now, let's substitute the side value here.
00:17 These sides are also opposite, so they are equal too.
00:24 Let's put in the side value for these as well.
00:33 The perimeter is the total of all the sides added together.
00:51 Let's put in the values and find out the perimeter.
00:59 And that's how we solve this problem! Great job!

Step-by-Step Solution

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

  • Step 1: Identify the given side lengths
  • Step 2: Use the perimeter formula for a parallelogram
  • Step 3: Perform the calculation to find the perimeter

Now, let's work through each step:
Step 1: The problem tells us that the lengths of two adjacent sides of the parallelogram are 15 and 10.
Step 2: We'll use the formula for the perimeter of a parallelogram, which is P=2(a+b) P = 2(a + b) , where a a and b b are the two sides.
Step 3: Plugging in the values, we have P=2(15+10)=2×25=50 P = 2(15 + 10) = 2 \times 25 = 50 .

Therefore, the perimeter of the parallelogram is 50 50 .

Answer

50