Let the width be x cm. Then the length is 2x plus 3 cm. Using the perimeter formula gives 2 multiplied by length plus width equals 24. Solving gives width 3 cm and length 9 cm.
If the length of a rectangle is three more than twice its width and its perimeter is 24 cm, what are the dimensions of the rectangle?
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Suppose the width of the rectangle is x cm. According to the question, the length is three more than twice the width, so the length becomes 2x plus 3 cm. The perimeter of a rectangle is 2 multiplied by length plus width and it is given as 24 cm. Therefore, 2 multiplied by 2x plus 3 plus x equals 24. Simplifying gives 6x plus 6 equals 24, so x equals 3. Hence, the width is 3 cm and the length is 9 cm.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 2 Introduction to Linear Polynomials (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-2/