# 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. - Mathematics

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

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

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

$\text{ Given }:$

$x = y + 25$

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

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

$4y = 150 - 50$

$4y = 100$

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

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

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

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 17 Understanding Shapes-III (Special Types of Quadrilaterals)
Exercise 17.1 | Q 16 | Page 11