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

• A. $40cm,30cm$
• B. $60cm,50cm$
• C. $50cm,40cm$
• D. none of the above

Answer 1

Answer: (A)

$40cm,30cm$

The perimeter of a parallelogram is $140$ cm. If one of the sides is longer than the other by $10$ cm.
Let smaller side (a) $=x$ then longer side $\left(b\right)=x+10$
Perimeter $=2(a+b)=2(x+x+10)=140$
=> $x=30$
Smaller side $=30$cm Larger side $=30+10=40$ cm