Question

If two adjacent sides of a 11gm are in the ration 2 : 3 and its
perimeter if 100cm. Find sides?​

Answer 1

Answer:

20cm, 30cm

Step-by-step explanation:

Given that 2 adjacent sides of a parallelogram are in ratio, 2:3

let x be the proportionality constant,

then the sides are 2x, 3x

given that the perimeter of the parallelogram , p = 100cm

=> 2(2x+3x) = 100cm

=> 2(5x) = 100cm

=> 10x = 100cm

=> x = 100/10 cm

=> x = 10cm

=> the sides are 2(10),3(10)

ie, 20cm, 30cm

Answer 2

Answer:

20cm & 30cm.

Explanation :

In a parallelogram, two adjacent sides are in ratio 2 : 3 and its perimeter is 100cm.

Find the sides.

Let's say the adjacent sides are $2x \: {\sf{and}}\: 3x$

We know that,

Perimeter of a ||gm :

→ 2 × sum of the adjacent sides.

So, we can say that

$\implies 100 = 2(2x + 3x)$

Solving for $\boldsymbol x$

$\implies 100 = 2(5x)$

$\implies 100 = 10x$

$\implies \dfrac{100}{10} = x$

$\implies 10 = x$

$\therefore \sf The \: value \: of \boldsymbol{x} \: is \: 10 \: units$

Hence, the sides are :

$2x \: {\sf{and}} \: 3x$

or, $\sf 2(10) \: and \: 3x$

or, $\bf 10cm \: and \: 30cm$