Question

In a parallelogram, the ratio of the adjacent sides is 3:4 and its perimeter is 72 cm, then finds the sides of a parallelogram.​

Answer 1

$\red\bigstar{\text{\underline{\underline{\: Correct\: Question}}}}$

In a parallelogram, the ratio of the adjacent sides is 3:4 and its perimeter is 42 cm, then finds the sides of a parallelogram.

$\red\bigstar{\text{\underline{\underline{\: Concept}}}}$

• In the following question, we are asked to find out the sides of a parallelogram by proving the side ratios.

• It could be easily found out by using perimeter formula of parallelogram.

$\red\bigstar{\text{\underline{\underline{\: Solution}}}}$

⇢ Let the sides be 3x and 4x

then, we know :-

$\large{\text{Perimeter\:of\: parallelogram=2(length+breadth)}}$

⇒ 42 = 2(3x + 4x)

⇒ 7x = $\large{\mathbb{\frac{42}{2}}}$

⇒ 7x = 21

∴ x = 3

$\red\bigstar{\text{\underline{\underline{\: Answer}}}}$

The sides of the parallelogram are :-

→ 3x = 3×3 = 9 m

→ 4x = 4×3 = 12 m

Answer 2

★ Solution

→ Let the sides = 3x and 4x

we know that :-

Perimeter of parallelogram=2(a+b)

→ 42 = 2(3x + 4x)

→$7x = \frac{42}{2}$

→ 7x = 21

★ x = 3

★ Answer

The sides of the parallelogram are :

→ 3x = 3x3 = 9 m

→ 4X= 4x3 = 12 m