The perimeter of a parallelogram is 150 cm.

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 $25 \mathrm{~cm}$.

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now