Question

ABCD is a parallelogram in which AB =15cm and its perimeter is 50cm. find the length of each side of parallelogram ​

Answer 1

In parallelogram ABCD, opposite sides are equal.

So, AB=CD and AD = BC.

but, AB = CD = 15cm

and let AD = BC = x

The perimeter of parallelogram ABCD is 50cm.

=> AB + BC + CD + AD = 50cm

=> 15 + x + 15 + x = 50cm

=> x + x + 15 + 15 = 50cm

=> 2x + 30 = 50cm

=> 2x = 50 - 30

=> 2x = 20

=> x = 20/2

=> x = 10

Therefore, AB = 15cm, BC = 10cm, CD = 15cm and AD = 10cm.

I hope it helps you.