## Mensuration
Area of Square = Side² = 60² = 3600 square metre Perimeter of Rectangle = 2(length + breadth) Or, 240 = 2(80 + breadth) Or, 80 + breadth = 120 Or, breadth = 120-80 = 40 metres Area of rectangle = length x breadth = 80 x 40 = 3200 square metres Now it is clear that the area of the square field is greater than the area of the rectangular field. 2. Mrs. Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per m².
Area of the house construction part = length x breadth = 20 x 15 = 300 sq m So, area of the garden = 625-300=325 square metre Cost of developing the garden = Area x Rate = 300 x 55 = 16500 rupees
= 20 x 7 = 140 sq m Area of Semicircular portions: = п x r Perimeter of the shape = 22 + 20 + 20 = 62 metres
= 24 x 10 = 240 sq cm (area of floor is converted into square cms) 5. An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round? Remember, circumference of a circle can be obtained by using the expression c = 2πr, where r is the radius of the circle. So, the food shape in (a) requires the ant to cover the least distance. |