Question

ratio of two sides of a parallelogram is 3:5 and its perimeter is 96 cm find the sides of a parallelogram​

Answer 1

Answer:

So sides of the parallelogram are 18,18,30,30

Step-by-step explanation:

Given:

Ratio of two sides are in 3:5

let the ratio be in factor of 3x , 5x

Perimeter = 96 cm

$\rule{200}{1}$

As we know

Perimeter of parallelogram = 2 ×(Sum of opposite sides)

2×(3x + 5x) = 96

2×(8x) = 96

16x = 96

$x = \frac{96}{16} \\ \\ x = 6$

Here , we get x = 6

$\rule{200}{1}$

Now,

°•° Measure of 1 side of parallelogram = 3x= 3 × 6 = 18

Measure of 2nd sides opposite to previous one = $\bold{\mathsf{5 \times 6 = 30 }}$

So sides of the parallelogram are 18,18,30,30

$\rule{200}{1}$

$\boxed{\underline{\underline{\bold{\mathsf{Things\:to\:know\:}}}}}$

• In parallelogram opposite sides are equal and is equal in Measure.

• Perimeter can be calculated by just adding up the all sides.

Answer 2

✫ Solution ✫

★ Given :

  ⋆ Ratio of two sides of parallelogram

      is 3 : 5.

  ⋆ its perimeter is 96 cm.

                                                 

★ To find :

   We have to find sides of

   a parallelogram.

                                                 

★ Let, the sides of parallelogram

   be 3x and 5x.

                                                                                                                         

|✪ Perimeter of parallelogram = 2 × (Sum of opposite sides). ✪|

                                                 

★ By using this formula we

  can easily find the sides of

  parallelogram.

                                                 

Let us do it,

Perimeter of parallelogram = 2 × (Sum of opposite sides).

⇒ 2 × (3x + 5x) = 96

⇒ 2 × 8x = 96

⇒ 16 x = 96

⇒ x = $\dfrac{96}{16}$

⇒ x = 6

                                                 

★ Here we get the value

  of 'x' which is 6.

                                                 

★ By putting the value of 'x'

  we can get the sides of

  parallelogram.

                                                 

Let us do it,

★ First side of parallelogram

  = 3x

  = 3 × 6

 = 18 cm.

★ Second side of parallelogram

  = 5x

  = 5 × 6

  = 30 cm.

                                                 

∴ Sides of a parallelogram

were 18 cm, 18 cm, 30 cm

and 30 cm.