Finding Area of rectangle with path outside/inside

Chapter 9 Class 7 Perimeter and Area
Concept wise

### Transcript

Question 2 A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path. Here, Area of path = Area of larger rectangle − Area of smaller rectangle Finding length and breadth of both rectangles Smaller rectangle Length of smaller rectangle = 125 m Breadth of smaller rectangle = 65 m Larger Rectangle 3 m wide path runs all around outside smaller rectangle. ∴ Length of larger rectangle = Length of smaller rectangle + 2 × (3) = 125 + 6 = 131 m Breadth of larger rectangle = Breadth of smaller rectangle + 2 × (3) = 65 + 6 = 71 m Smaller rectangle Length = l = 125 m Breadth = b = 65 m Area of smaller rectangle = l × b = 125 × 65 = 8125 m2 Larger rectangle Length = l = 131 m Breadth = b = 71 m Area of smaller rectangle = l × b = 131 × 71 = 9301 m2 Now, Area of path = Area of larger rectangle − Area of smaller rectangle = 9301 − 8125 = 1176 m2 ∴ Area of path is 1176 m2

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.