Area and Perimeter

Chapter 9 Class 8 Mensuration
Concept wise

### Transcript

Question 1 A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? Given, Side of Square = a = 60 m Length of rectangle = l = 80 m Let the breadth of rectangle = b m Given that Square and rectangular field have the same Perimeter ∴ Perimeter of rectangle = Perimeter of square 2 (l + b) = 4a 2 (80 + b) = 4 × 60 2 (80 + b) = 4 × 60 160 + 2b = 240 2b = 240 − 160 2b = 80 b = 80/2 b = 40 m ∴ Breadth of Rectangle = 40 m Now, Area of Square Area = a2 Putting a = 60 m Area = (60)2 = 60 × 60 = 360 m2 Area of rectangle Area = l × b Putting l = 80 m & b = 40 m Area = 80 × 40 = 3200 m2 ∴ Square has larger area. So, figure (a) has larger area

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#### 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.