Question

The ratio of two sides of parallelogram is as 3:5,and its perimeter is 48 m then the aides of parallelogram is

Answer 1

Answer:

Step-by-step explanation:

Given :-

Ratio of unequal sides = 3 : 5

Perimeter of the Parallelogram = 48 m

To Find :-

Sides of  Parallelogram

Formula to be used :-

Adding all sides

Solution :-

Let the sides of a Parallelogram be 3x and 5x

we know that opposite side of parallelogram are equal.

Then,

The sides are 3x, 3x, 5x, 5x

Perimeter of Parallelogram = 48 m

⇒ 3x + 3x + 5x + 5x = 48 m

⇒ 16x = 48

⇒ x = 48/16

⇒ x = 3

1st Side = 3x = 3 × 3 = 9 m

2nd Side = 5x = 5 × 3 = 15 m

3rd Side = 3x = 3 × 3 = 9 m

4th Side = 5x = 5 × 3 = 15 m

Hence, the sides of parallelogram are 9 m, 15 m, 9 m, and 15 m.

Verification :-

⇒ 1st Side + 2nd Side + 3rd Side + 4th Side = Perimeter

⇒ (9 + 15 + 9 + 15) m = 48 m

⇒ 48 m = 48 m

Verified.

Answer 2

Answer:

Given

Sides are in ratio 3 : 5

So, the first side = 3x

Second side = 5x

_________________

We know that opposite side of parallelogram are equal

So, third side = 3x

fourth side = 5x

Perimeter = 48 m

_________________

3x + 3x + 5x + 5x = 48 m

6x + 10x = 48 m

16x =48 m

x = 48/16

x = 3 m

_________________

Now, put the value of x

First side = 3x = 3(3) = 9 m

Second side = 5x = 5(3) = 15 m

Third side = 3x = 3(3) = 9 m

Fourth side = 5x = 5(3) = 15 m

__________________

Verification

Add all the sides and put them equal to perimeter

9 m + 15 m + 9 m +15 m = 48 m

24 m + 24 m = 48 m

48 m = 48 m

Hence verified