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Suppose the length of a rectangle is 13 cm. Find the area if the breadth is (i) 12 cm, (ii) 10 cm, (iii) 8 cm. Find the linear pattern representing the area of the rectangle.
The area of a rectangle is calculated by multiplying its length and breadth. Here, the length is fixed at 13 cm. When the breadth is 12 cm, the area becomes 13 multiplied by 12, which equals 156 square cm. For breadth 10 cm, the area becomes 130 square cm and for breadth 8 cm, the area becomes 104 sRead more
The area of a rectangle is calculated by multiplying its length and breadth. Here, the length is fixed at 13 cm. When the breadth is 12 cm, the area becomes 13 multiplied by 12, which equals 156 square cm. For breadth 10 cm, the area becomes 130 square cm and for breadth 8 cm, the area becomes 104 square cm. If the breadth is represented by b, then the linear expression for the area of the rectangle is 13b square 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/
See lessA rally starts with 120 members. Each hour, 9 members drop out of the group. How many members will remain after 1, 2, 3, … hours? Find a linear expression to represent the number of members at the end of the nth hour.
At the beginning, the rally has 120 members. Every hour, 9 members drop out of the group. After 1 hour, the number becomes 111. After 2 hours, it becomes 102 and the decrease continues regularly. If n represents the number of hours, then the number of members remaining after n hours can be written aRead more
At the beginning, the rally has 120 members. Every hour, 9 members drop out of the group. After 1 hour, the number becomes 111. After 2 hours, it becomes 102 and the decrease continues regularly. If n represents the number of hours, then the number of members remaining after n hours can be written as 120 minus 9n. This expression forms a linear pattern because the number of members decreases by the same amount every hour.
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/
See lessSuppose the length of a rectangular box is 7 cm and breadth is 11 cm. Find the volume if the height is (i) 5 cm, (ii) 9 cm, (iii) 13 cm. Find the linear pattern representing the volume of the rectangular box.
The volume of a rectangular box is found by multiplying length, breadth and height. Here, the length is 7 cm and the breadth is 11 cm. For height 5 cm, the volume becomes 7 multiplied by 11 multiplied by 5, which equals 385 cubic cm. For heights 9 cm and 13 cm, the volumes become 693 cubic cm and 10Read more
The volume of a rectangular box is found by multiplying length, breadth and height. Here, the length is 7 cm and the breadth is 11 cm. For height 5 cm, the volume becomes 7 multiplied by 11 multiplied by 5, which equals 385 cubic cm. For heights 9 cm and 13 cm, the volumes become 693 cubic cm and 1001 cubic cm respectively. If the height is represented by h, then the linear expression for the volume of the box is 77h cubic 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/
See lessSarita is reading a book of 500 pages. She reads 20 pages every day. How many pages will be left after 15 days? Express this as a linear pattern
Sarita has a book containing 500 pages and reads 20 pages every day. In 15 days, she reads 20 multiplied by 15, which equals 300 pages. Therefore, the number of pages left becomes 500 minus 300, which equals 200 pages. If n represents the number of days, then the number of pages remaining can be wriRead more
Sarita has a book containing 500 pages and reads 20 pages every day. In 15 days, she reads 20 multiplied by 15, which equals 300 pages. Therefore, the number of pages left becomes 500 minus 300, which equals 200 pages. If n represents the number of days, then the number of pages remaining can be written as 500 minus 20n. This expression forms a linear pattern because the number of pages decreases by the same amount every day.
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/
See lessThe cost of a journey is given by the linear function C(d) = 100 + 60d, where C indicates total cost in rupees and d the distance travelled in km. Let us make a table of values for d varying from 0 to 10 km and show how the cost increases for every km.
The linear function C(d) = 100 + 60d represents the total journey cost, where d is the distance travelled in kilometres. The fixed charge is 100 rupees and the cost increases by 60 rupees for every kilometre. For example, when d equals 0, the cost is 100 rupees and when d equals 1, the cost becomesRead more
The linear function C(d) = 100 + 60d represents the total journey cost, where d is the distance travelled in kilometres. The fixed charge is 100 rupees and the cost increases by 60 rupees for every kilometre. For example, when d equals 0, the cost is 100 rupees and when d equals 1, the cost becomes 160 rupees. The pattern continues with a constant increase of 60 rupees each time. Therefore, this function represents linear growth because the increase remains fixed.
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/
See less