Question

perimeter of a parallelogram is 150cm one of its side is twice the other then find the length of all the sides of a parallelogram​

Answer 1

Answer :-

Lengths of the sides of the parallelogeam are 50 cm, 25 cm, 50 cm and 25 cm.

Explanation :-

Let other side (a) be 'x' cm

One of the side (b) = Twice the other side = 2(x) = '2x' cm

Perimeter of the parallelogram = 150 cm

⇒ a + b + a + b = 150

⇒ 2a + 2b = 150

⇒ 2(a + b) = 150

⇒ a + b = 150/2

⇒ a + b = 75

⇒ x + 2x = 75

[ ∵ a = x and b = 2x]

⇒ 3x = 75

⇒ x = 75/3

⇒ x = 25

Other side = x = 25 cm

One of the side = 2x = 2(25) = 50 cm

∴ the lengths of the sides of the parallelogeam are 50 cm, 25 cm, 50 cm and 25 cm.