Question

The adjacent side of parallelogram are in ratio 5:3 if it perimeter is 96cm, find the side of parallelogram

Answer 1

Given:

The adjacent side of parallelogram are in ratio 5:3 if it perimeter is 96cm.

To find out:

Find the side of parallelogram.

Solution:

Let the two sides of the parallelogram be 5x cm and 3x cm.

Since, The opposite sides of a parallelogram are equal.

Therefore, the other two sides are 5x cm and 3x cm.

Now,

Perimeter of parallelogram = 96 cm

➱ 5x + 3x + 5x + 3x = 96

➱ 8x + 8x = 96

➱ 16x = 96

➱ x = 96/16

➱ x = 6 cm

Hence,

5x = 5 × 6 = 30 cm

3x = 3 × 6 = 18 cm

Sides of the parallelogram are 30 cm, 18 cm, 30 cm, 18 cm.

Answer 2

$\huge\mathfrak\green{Answer:}$

Given:

We have been given that the adjacent sides of a parallelogram are in the ratio 5:3. The perimeter of the parallelogram is 96cm.

To Find:

We need to find the side of parallelogram.

Solution:

Let the sides be 5x and 3x.

We know that the opposite sides of parallelogram are equal.

So as it is given that the perimeter of parallelogram is 96cm, we have

5x + 3x + 5x + 3x = 96cm

8x + 8x = 96cm

16x = 96cm

x = 96/16

x = 6cm

Now,

5x = 5 × 6 = 30cm

3x = 3 × 6 = 18cm

Therefore the sides of parallelogram are 30cm, 30cm, 18cm and 18cm.