Question

One side of a paralellogram is 3/4 times its adjacent side,if the perimetre of the paralellogram is 70cm Find the side of the paralellogram.​

Answer 1

Answer:

20 cm , 15 cm

Step-by-step explanation:

.Let the side be X cm

Now in a parallelogram opposite sides are

equal and parallel.

One more thing is it is given

Y ( the other side ) = 3/4 X cm

So the perimeter of parallelogram is

2(x + y) = 70

2(X + 3/4 X ) = 70

7x/4 = 35

X = 140 / 7

X = 20 cm

Y = 3/4 X = 15cm

So the sides of the parallelogram is 20 cm , 15 cm

Answer 2

To Find:-

• Find the side of the paralellogram.

Given:-

• One side of a paralellogram is 3/4 times its adjacent side.
• The perimetre of the paralellogram is 70cm.

Solution:-

Let a and b be the adjacent sides of the parallelogram.

According to the Question:-

$\tt\implies \: b = \dfrac { 3 } { 4 } a$

$\tt\implies \: Perimeter = 70 \: cm$

As we know that:-

$\tt \: Perimeter \: of \: parallelogram = 2 ( a + b )$

Putting Values:-

$\tt\implies \: 70 = 2 ( a + \dfrac{ 3 } { 4 } a )$

$\tt\implies \: \dfrac { 70 } { 2 } = ( a + \dfrac{ 3 } { 4 } a )$

$\tt\implies \: 35 = \dfrac{ 7 } { 4 }a$

$\tt\implies \: 7a = 35 \times 4$

$\tt\implies \: a = \dfrac{ 140 } { 7 }$

$\tt\implies \: a = 20 cm$

So,

$\tt\implies \: b = \dfrac { 3 } { 4 } a$

$\tt\implies \: b = \dfrac { 3 } { 4 } \times 20$

$\tt\implies \: b = 3 \times 5$

$\tt\implies \: b = 15cm$

Hence,

$\tt \: Sides \: of \: parallelogram \: is \: 20 , 15 , 20 , 15.$