Question

the perimeter of a parallelogram is 92cm , if one side is greater than its adjacent side by 10cm,find its side.

Answer 1

Sides of parallelogram = a cm,  and ,   a+10 cm

Perimeter = 2 (a  +  a+10 )
                = 4 a + 20 = 92 cm

So   a = 18 cm
Adjacent side = 18+10 = 28 cm.

Answer 2

Let one side of the parallelogram be x cm
The length of the other side be x + 10 cm

The perimeter of parallelogram = 92 cm
⇒ x + x +10 + x + x + 10 = 92
⇒ 4x + 20 = 92
⇒ 4x = 72
⇒ x = 18

The length of the side of parallelogram is 18 cm
Its adjacent side is 28 cm