Question

The ratio of the two adjacent sides of a parallelogram is 5 : 8. Find all the sides of the prallelogram if its perimeter is 52 cm.​

Answer 1

Given :-

• Ratio of sides = 5:8
• Perimeter = 52 cm

To Find :-

Sides

Solution :-

Let the sides be 5x and 8x

Now,

$\pink{\sf Perimeter = 2(l + b)}$

52 = 2(5x + 8x)

52 = 2(13x)

52 = 26x

x = 52/26

x = 2

Sides are

5(2) = 10 cm

5(2) = 10 cm

8(2) = 16 cm

8(2) = 16 cm

Answer 2

Answer:

Let the length be 5x

and breadth be 8x

Perimeter of parallelogram = 52 cm

2 (l+b) = 52

2(5x+8x) = 52

$\tt \: 13x = \frac{52}{2} \\ \tt \: x = \cancel\frac{26}{13} \\ \tt \: \boxed{ \tt{x = 2cm}}$

therefore ; length = 5x

= 5×2 cm

= 10 cm

breadth= 8x

= 8×2 cm

= 16 cm

hope it helps you dear ....