Question

The perimeter of a parallelogram is 140 cm. If one of the sides is longer than the other by 10 cm, find the length of each of its sides.

Answer 1

Let the lengths of two sides of the parallelogram be x cm and x+10 cm, respectively. Then, its perimeter =2[x+x+10] cm

=2[x+x+10] cm=2[2x+10] cm=4x+20 cm
4x+20=140⇒4x=140-20⇒4x=120⇒x=1204⇒x=30Length of one side=30 cm Length of the other side⇒30+10 cm=40 cm