Question

The ratio of sides of parallelogram is 3 : 5 and the perimeter is 150 cm. Find the sides of parallelogram.​

Answer 1

Step-by-step explanation:

As per the provided information in the given question, we have :

• The ratio of sides of parallelogram is 3:5 and the perimeter is 150 cm.

We are asked to calculate the sides of the parallelogram.

Opposite sides of a parallelogram are equal.So, the let us assume the sides of the parallelogram as 3x, 5x, 3x and 5x respectively.

As we know that,

$\longmapsto \bf { Perimeter_{(\parallel gm)} = Sum_{(All \; sides)} }$

Substitute the values we have.

$\longmapsto \rm { 150 = 3x + 5x + 3x + 5x}$

Performing addition in R.H.S.

$\longmapsto \rm { 150 = 16x }$

Transposing 16 from R.H.S to L.H.S. Its arithmetic operator will get changed.

$\longmapsto \rm { \cancel{\dfrac{150}{16}} = x }$

Dividing 150 with 16.

$\longmapsto \rm {9.375 = x }$

Finding the sides of the parallelogram :

$\longmapsto \rm { 1st \; side = 3x }$

$\longmapsto \rm { 1st \; side = 3(9.375) }$

$\longmapsto \bf { 1st \; side = 28.12 \; cm }$

______________________

$\longmapsto \rm { 2nd \; side = 5x }$

$\longmapsto \rm { 2nd \; side = 5(9.375) }$

$\longmapsto \bf { 2nd \; side = 46.87 \; cm }$

______________________

$\longmapsto \rm { 3rd \; side = 3x }$

$\longmapsto \rm { 3rd \; side = 3(9.375) }$

$\longmapsto \bf { 3rd \; side = 28.12 \; cm }$

___________________

$\longmapsto \rm { 4th \; side = 5x }$

$\longmapsto \rm { 4th \; side = 5(9.375) }$

$\longmapsto \bf { 4th \; side = 46.87 \; cm }$

$\rule{200}2$

∴ The sides are 28.12 cm ,46.87 cm , 28.12 cm and 46.87 cm.

Answer 2

$\huge\fbox\orange{QUE}{\colorbox{blue}{ST}}\fbox\green{ION}$

The ratio of sides of parallelogram is 3 : 5 and the perimeter is 150 cm. Find the sides of parallelogram.

$\huge{\underline{\mathtt{\red{A} \pink{N} \green{S} \blue{W} \purple{E} \orange{R}}}}$

$\sf\green{Given :}$

➣ Ratio of sides of Parallelogram = 3 : 5

➣ The Perimeter of the Parallelogram = 150 cm

$\sf\pink{To \: Find :}$

➣ The Measure of The Sides of the Parallelogram

$\sf\red{Solution :}$

➪ Opposite Sides of a Parallelogram are equal.

➪ Let, the sides of the Parallelogram = 3x, 5x, 3x and 5x

➪ Perimeter of Parallelogram = Sum of all sides

⇒ 150 = 3x + 5x + 3x + 5x

⇒ 150 = 16x

⇒ $\cancel\frac{150}{16}$ = x

⇒ 9.375 = x

➤ Measure of the First Side of the Parallelogram :—

⟼ First side of the Parallelogram= 3x

⟼ First side of the Parallelogram = 3 × 9.375

⟼ First side of the Parallelogram = 28.12 cm

➤ Measure of the Second Side of the Parallelogram :—

⟼ Second side of the Parallelogram = 5x

⟼ Second Side of the Parallelogram = 5 × 9.375

⟼ Second Side of the Parallelogram = 46.87 cm

➤ Measure of the Third Side of the Parallelogram :—

⟼ Third Side of the Parallelogram = 3x

⟼ Third Side of the Parallelogram = 3 × 9.375

⟼ Third Side of the Parallelogram = 28.12 cm

➤ Measure of the Fourth Side of the Parallelogram :—

⟼ Fourth Side of the Parallelogram = 5x

⟼ Fourth Side of the Parallelogram = 5 × 9.375

⟼ Fourth Side of the Parallelogram = 46.87 cm

➙ So, the sides of the Parallelogram are 28.12 cm, 46.87 cm, 28.12 cm and 46.87 cm