Question

The perimeter of a parallelogram is 150 cm. if one of its side is greater than the other by 25 cm, then the smaller side is:
1. 25 cm
2. 75 cm
3. 45 cm
4. 50 cm

Answer 1

Correct Answer - Option 1 : 25 cm

Given:

The perimeter of a parallelogram =150 cm

One of the sides is 25 cm greater than the smaller side

Concept used:

The perimeter of a parallelogram = 2(a + b), Where 'a' and 'b' are the sides of a parallelogram

Detailed solution:

Let the length of the adjacent sides of parallelogram be 'a' and 'b' , then

a =b + 25

Also

150 =2a + ab

⇒ 150 =2(b + 25) +2b

⇒ 4b =100

⇒ b =25

∴ The length of the smaller side is 25 cm