Question

the ratio of two sides of parallgrom is 3:5and perimeter is 48 m then the sides of the parallgrom are​

Answer 1

Given :

⬤ Sides of Parallelogram are in the Ratio 3:5.

⬤ Perimeter of Parallelogram is 48 m.

To Find :

⬤ Side of Parallelogram .

Solution :

Let :

• Length of One Side of Parallelogram be 3x.
• Length of Other Side of Parallelogram be 5x.

According to the Question :-

48 = 2(Side¹ + Side²)

{48 = 2(3x + 5x)}

48/2 = (3x + 5x)

24 = 8x

24/8 = x

$\bf{3 = x}$

Therefore , The Value of x is 3 .

Hence ,

Length of One Side of Parallelogram = 3x

= 3(3)

= 9

Length of Other Side of Parallelogram = 5x

= 5(3)

= 15

Therefore , The Sides of Parallelogram are 9 m and 15 m.

Answer 2

Correct Question-:

• The ratio of two sides of parallgrom is 3:5 and perimeter is 48 m .Find the sides of the parallgrom .

AnswEr -:

• $\boxed{\purple{\sf{\star{\:The\: Length\:of\:two\:sides\:of\:parallelogram\:are \:9m \:and\:15m\:.}}}}$

Explanation-:

Given ,

• The ratio of two sides of parallgrom is 3:5 .
• The perimeter of 48 m .

To Find ,

• The sides of parallelogram.

Solution-:

• ☆ Let the length of two sides be -:
• (Side)¹ -: 3x m .
• (Side)² -: 5x m ..................... [1]

• $\boxed{\blue{\sf{\star{\:The\:Perimeter \:\:of\:parallelogram \:is= 2(Side_{1} + Side_{2})}}}}$

Here,

• (Side)¹ -: 3x m .
• (Side)² -: 5x m ......... [From 1]

Now ,

• $\pink{\sf{\rightarrow {48 m \:-: 2 (3x + 5x ) }}}$
• $\pink{\sf{\rightarrow {48 m \:-: 2 (8x ) }}}$
• $\pink{\sf{\rightarrow {\frac{48}{2} \:-: 8x }}}$
• $\pink{\sf{\rightarrow {24 \:-: 8x }}}$
• $\pink{\sf{\rightarrow {\frac{24}{8} \:-: x }}}$
• $\pink{\sf{\rightarrow {3 \:-: x }}}$

Therefore,

• $\boxed{\purple{\sf{\star{\:x=3\:}}}}$

Now ,

• The length of first side or (side)¹ = 3x = 3 × 3 = 9 m
• The length of first side or (side)² = 5x = 5 × 3 = 15 m

Hence,

• $\boxed{\purple{\sf{\star{\:The\: Length\:of\:two\:sides\:of\:parallelogram\:are \:9m \:and\:15m\:.}}}}$

______________________♡____________________