To find the perimeter of a parallelogram, you need to understand that a parallelogram has two pairs of opposite sides that are equal in length.
Given:
- The lengths of the two adjacent sides of the parallelogram are 35.35 cm and 25.75 cm.
We know that in a parallelogram, the opposite sides are equal. Therefore, if one pair of sides is 35.35 cm, the opposite side will also be 35.35 cm. Similarly, if one pair of sides is 25.75 cm, the opposite side will also be 25.75 cm.
To find the perimeter of the parallelogram, we need to sum up the lengths of all the sides:
[tex]\[
\text{Perimeter} = 2 \times (\text{side}_1 + \text{side}_2)
\][/tex]
Plugging in the given values:
[tex]\[
\text{Perimeter} = 2 \times (35.35 \, \text{cm} + 25.75 \, \text{cm})
\][/tex]
First, calculate the sum of the given sides:
[tex]\[
35.35 \, \text{cm} + 25.75 \, \text{cm} = 61.10 \, \text{cm}
\][/tex]
Next, multiply this sum by 2 to get the perimeter:
[tex]\[
\text{Perimeter} = 2 \times 61.10 \, \text{cm} = 122.20 \, \text{cm}
\][/tex]
Therefore, the perimeter of the parallelogram is:
[tex]\[
\boxed{122.2 \, \text{cm}}
\][/tex]
