Question

The ratio of two sides of a parallelogram is 5:2 .If its perimeter is 56 cm ,find the length of its sides.

Answer 1

Answer:

20,8

Step-by-step explanation:

ratio= 5:2

sides=5x,2x

perimeter= 56cm

2(a+b)=56

7x=56/2

x=28/7

x=4

a=5x=20cm

b=2x=8cm

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Answer 2

$\Large{\underbrace{\sf{\purple{Required\:Solution:}}}}$

Given thαt,

• The rαtio of two sides of α pαrαllelogrαm is 5:2.
• And the perimeter is 56cm.

◾️We need to find the length of the sides

____________

To do so,

Let's αssume thαt the sides be 5x αnd 2x.

$\large\star{\boxed{\sf{\purple{ Perimeter_{(parallelogram)}= 2(length+breadth)}}}}$

• Substitute the vαlues αnd simplify.

$\longrightarrow{\sf{ 56cm = 2(5x+2x)}}$

$\longrightarrow{\sf{ 56cm = 2(7x)}}$

$\longrightarrow{\sf{ 56cm = 14x}}$

$\longrightarrow{\sf{ \dfrac{56}{14} = x}}$

$\large\implies{\boxed{\sf{\purple{ x = 4cm}}}}$

Therefore, the sides will be 5x = 20cm αnd 2x = 8cm.

And we αre done! :D

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