Question

The perimeter of a parallelogram is $100$ cm. If one sides exceeds the other by $20$ cm. What is the size of smallest sides of parallelogram.

• A. $15$ cm
• B. $30$ cm
• C. $35$ cm
• D. None

Answer 1

The correct option is A $15$ cm

In parallelogram, opposite sides are congruent.

Let one sides of a parallelogram $=x$
Then the other side $=x+20$
Perimeter : $x+x+x+20+x+20=100$
$\Rightarrow 4x=60$
$\Rightarrow x=15$

Therefore, the size of he smallest sides is $15$ cm.