Question:
The perimeter of a parallelogram is 150 cm. One of its sides is greater than the other by 25 cm. Find the length of the sides of the parallelogram.
Solution:
Opposite sides of a parallelogram are same.
Le $t$ two sides of the parallelogram be $x$ and $y$.
Given :
$x=y+25$
Also, $x+y+x+y=150 \quad($ Perimeter $=$ Sum of all the sides of a paralle $\log$ ram $)$
$y+25+y+y+25+y=150$
$4 y=150-50$
$4 y=100$
$y=\frac{100}{4}=25$
$\therefore x=y+25=25+25=50$
Thus, the length $s$ of the sides of the parallelogram are $50 \mathrm{~cm}$ and $25 \mathrm{~cm}$.