Question

If the perimeter of a parallelogram is 300 cm and length of one side is twice the length of the adjacent side, find the length of the adjacent sides.

• A. 30 cm, 60 cm
• B. 40 cm, 80 cm
• C. 50 cm, 100 cm
• D. 60 cm, 120 cm

Answer 1

The correct option is C 50 cm, 100 cm

Given perimeter of the parallelogram = 300 cm.

Let the length of one side is x. As per the question, the other side will be 2x.

Hence, the perimeter of the parallelogram is
$\to$ x + 2x + x + 2x = 300
$\to$ 6x = 300
$\to$ x = 50
Then, 2x = 2 $\times$50 = 100.

​​​​​​​The lengths are 50 cm, 100 cm.