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

To solve this problem, follow these steps:

• Step 1: Understand the properties of a parallelogram.
• Step 2: Apply the perimeter formula for a parallelogram.
• Step 3: Compute the value using the given side lengths.

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.