The total outer side length including the path becomes 40 + 2s metres. Subtracting the inner square area (1600) from the expanded outer square area provides the final algebraic expression for the path.
The village playground is shaped as a square of side 40 metres. A path of width s metres is created around the playground for people to walk. Find an expression for the area of the path in terms of s.
Share
The inner playground is a square with an area of 40 times 40, which equals 1600 square metres. When a path of width s is added around all sides, the new outer boundary forms a larger square with a total side length of 40 + 2s metres. The total outer area is the square of (40 + 2s), which expands to 1600 + 160s + 4s square. Subtracting the inner playground area leaves the path area.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-4/