Example:
Two adjacent sides of a parallelogram are 6 cm and 9 cm. Find its perimeter.
Solution:
We know that the opposite sides of a parallelogram are equal. Two of its sides are given by 6 cm and 9 cm. Therefore the rest of the sides will be of measure 6 cm and 9 cm.
Hence the perimeter = The sum of all sides of the parallelogram = 6 + 9 + 6 + 9 = 30cm.
Example:
Two adjacent sides of a parallelogram is given by 'x' and '5x'. Find its perimeter.
Solution:
We know that the perimeter of a parallelogram is equal to the sum of its sides.
Here two adjacent sides are of measure x and 5x.
Since opposites sides of a parallelogram are equal then the remaining sides will be of
measure x and 5x.
Hence Perimeter = x + x + 5x + 5x = 12x units.
Directions: Read the above example carefully and answer the following questions:
Two adjacent sides of a parallelogram are given by '5x' and '7x'. Find the perimeter of the parallelogram. Find the value of the perimeter when x = 2.
Two adjacent sides of a parallelogram are given by '2x' and '3x'. Find the perimeter. Sketch the parallelogram and label it.