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. 

Answer 1

$$\text{ Opposite sides of a parallelogram are same }.$$

$$\text{ Let two sides of the parallelogram be x and y }.$$

$$\text{ Given }:$$

$$x=y+25$$

$$\text{ Also },x+y+x+y=150(\text{ Perimeter = Sum of all the sides of a parallelogram })$$

$$y+25+y+y+25+y=150$$

$$4y=150-50$$

$$4y=100$$

$$y=\frac{100}{4}=25$$

$$\therefore x=y+25=25+25=50$$

$$\text{ Thus, the lengths of the sides of the parallelogram are 50 cm and 25 cm }.$$