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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.
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Solution
\[\text{ Opposite sides of a parallelogram are same } . \]
\[\text{ Let two sides of the parallelogram be x and y } . \]
\[\text{ Given }: \]
\[ x = y + 25\]
\[\text{ Also }, x + y + x + y = 150 (\text{ Perimeter = Sum of all the sides of a paralle\logram })\]
\[y + 25 + y + y + 25 + y = 150\]
\[4y = 150 - 50\]
\[4y = 100\]
\[y = \frac{100}{4} = 25\]
\[ \therefore x = y + 25 = 25 + 25 = 50 \]
\[\text{ Thus, the lengths of the sides of the parallelogram are 50 cm and 25 cm } .\]
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