Question

find the sides of a parallelogram if the rario of its adjacent sides is 4:5 and perimeter is 270cm​

Answer 1

Answer :-

• All sides of the parallelogram are 75cm,75cm,60cm and 60cm respectively.

Given :-

• Ratio of the adjacent sides of a parallelogram

To Find :-

• All sides of the parallelogram.

Solution :-

Let

• ABCD be the parallelogram in which
• AB = CD and
• BC = AD

Here

• Perimeter of the parallelogram is 270cm.

Put x in the ratio

• 4x
• 5x

As we know that

• Opposite sides of a parallelogram are equal.

So

• AB = CD = 5x
• BC = AD = 4x

According to question :-

Perimeter of a parallelogram is

2 (a + b) units

⇒ 2 (5x + 4x) = 270

⇒ 2 × 9x = 270

⇒ 9x = 270/2

⇒ 9x = 135

⇒ x = 135/9

⇒ x = 15

Now

• AB = CD = 5x = 5 × 15 = 75cm
• BC = AD = 4x = 4 × 15 = 60cm

Hence, all sides of the parallelogram are 75cm,75cm,60cm and 60cm respectively.