## 14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find the length of each of its sides.​

Question

14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.​

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1 year 2021-08-20T17:44:04+00:00 2 Answers 0 views 0

length = 15

Step-by-step explanation:

let the ratio constants be x

so length = 5x

area of parallelogram= 2 (l+b) = 2 (5x + 3x) = 2 (8x)

= 16x = 48

= x = 48/16

= x = 3

so length = 5× x = 5× 3 = 15

and breadth = 3 × x = 3 × 3 = 9

### Given :-

• Ratio of two Sides of Parallelogram ( Length and breadth) = 5 : 3
• Perimeter of the parallelogram = 48cm

### To Find :-

• Length of each side of the parallelogram

### Formula :-

Perimeter of the parallelogram = 2( length + breadth)

### Solution :-

Let the length and breadth be 5x and 3x

2(5x + 3x) = 48cm

2(8x) = 48cm

x = 48/16

x = 3cm

Length = 5x = 5×3cm = 15cm

Breadth = 3x = 3×3cm = 9cm

We know that,

In parallelogram Opposite sides are equal