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 m 2 .

NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 11. Mensuration

Subject: Maths - Class 8^th

Q. No. 2 of Exercises 11.1

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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 square plot = Side² = 25² = 625 square metre

Area of the house construction part = length x breadth

= 20 x 15 = 300 sq m

Area of garden = 25² – 15 × 20

= 625 – 300

= 325 m²

Thus, total cost of developing a garden around the house at the rate of Rs 55 per m² = 325 × 55

= Rs17875

3

Chapter Exercises

Exercises 11.1

Exercises 11.2

Exercises 11.3

Exercises 11.4

1

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

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.

3

The shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. Find the area and the perimeter of this garden [Length of rectangle is 20 – (3.5 + 3.5) metres].

4

A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 m²? (If required you can split the tiles in whatever way you want to fill up the corners).

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.

A. B.

C.