Calculate Parallelogram Perimeter: Finding Total Length of 15cm and 10cm Sides

Video Solution

Solution Steps

00:00 Calculate the perimeter of the parallelogram

00:04 The perimeter of the parallelogram equals the sum of its sides

00:09 Opposite sides are equal in a parallelogram, so we'll multiply each side

00:16 We'll substitute appropriate values according to the given data, and solve for the perimeter

00:24 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, follow these steps:

Now, let's calculate:

Step 1: In a parallelogram, opposite sides are of equal length. Here, $AB = CD = 15 \, \text{cm}$ and $BC = DA = 10 \, \text{cm}$ .

Step 2: The perimeter $P$ of a parallelogram is calculated using the formula:

$P = 2(a + b)$

where $a$ and $b$ are the lengths of two adjacent sides.

Step 3: Substituting the given values for $a$ and $b$ :

$P = 2(15 + 10) = 2 \times 25 = 50 \, \text{cm}$

Therefore, the perimeter of parallelogram ABCD is 50 cm.

Among the choices, option 1: 50 cm is the correct answer.