Question

Solve



6) The ratio of two sides of a parallelogram is as 3: 5, and its perimeter is 48m. Find

the sides of the parallelogram.​

Answer 1

✰ The sides of the parallelogram are 9 and 15. ✰

Step-by-step explanation:

Given: The ratio of two sides of a parallelogram are 3:5 and its perimeter is 48 m.

To find: Sides of the parallelogram

Required Formula:

• Perimeter of parallelogram = 2(a + b)

Solution:

❍ Let the sides be 3x and 5x.

Putting the values,

$\\ :\implies\sf{48 = 2(3x + 5x)}\\ \\ :\implies\sf{48 = 6x + 10x}\\ \\ :\implies\sf{48 = 16x}\\ \\ :\implies\sf{x = \frac{ \cancel{48}}{ \cancel{16}}}\\ \\ :\implies \underline{ \boxed{\frak{x = 3}}} \: \red{ \bigstar}$

Therefore,

• x = 3
• a = 3x = 3 × 3 = 9
• b = 5x = 5 × 3 = 15

Hence,

• The Sides are 9 and 15.

Answer 2

ANSWER

B:L=3:5

So Perimeter = 2(3x+5x)=48

x=3

L=15 and B=9