Question

Two adjacent sides of a parallelogram are in the ratio 3:8 and its perimeter is 110 cm find the side of the parallelogram

Answer 1

Adjacent sides of parallelogram are in the ratio 3:7.

Perimeter = 100 cm

Perimeter of a parallelogram is 2(Length+Breadth) = 100

⇒2(7x+3x) = 100

⇒2(10x) = 100

⇒x = 5

Thus, length = 7x = 7×5 = 35

breadth = 3x = 7×5 = 15

Hence, the answer.

Answer 2

✬ Adjacent Sides = 15 & 40 cm ✬

Step-by-step explanation:

Given:

• Two adjacent sides of a parallelogram are in ratio 3 : 8.
• Perimeter of parallelogram is 110 cm.

To Find:

• What is the meaure of sides of ||gm ?

Solution: Let x be the common in given ratio. Therefore,

➨ Length of ||gm = 3x

➨ Breadth of ||gm = 8x

As we know that, Opposite sides of a parallelogram are equal so other two adjacent sides will be same.

★ Perimeter of ||gm = Sum of its all sides ★

$\implies{\rm }$ 110 = 3x + 3x + 8x + 8x

$\implies{\rm }$ 110 = 6x + 16x

$\implies{\rm }$ 110 = 22x

$\implies{\rm }$ 110/22 = x

$\implies{\rm }$ 5 = x

So,

➫ Length = 3x = 3(5) = 15 cm.

➫ Breadth = 8x = 8(5) = 40 cm.

Hence, two adjacent sides of the parallelogram are 15 cm & 40 cm.