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

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

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

\[\text{ Given }: \]

\[ x = y + 25\]

\[\text{ Also }, x + y + x + y = 150 (\text{ Perimeter = Sum of all the sides of a paralle\logram })\]

\[y + 25 + y + y + 25 + y = 150\]

\[4y = 150 - 50\]

\[4y = 100\]

\[y = \frac{100}{4} = 25\]

\[ \therefore x = y + 25 = 25 + 25 = 50 \]

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