NCERT Solutions for Class 8 Maths Chapter 11 Mensuration Ex 11.1 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 11 Mensuration Ex 11.1.
|Exercise||Ex 11.1, Ex 11.2, Ex 11.3, Ex 11.4|
|Number of Questions Solved||5|
NCERT Solutions for Class 8 Maths Chapter 11 Mensuration Ex 11.1
A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?
Area of the square field = a x a
= 60 m x 60 m = 3,600
Perimeter of the square field = 4a
= 4 x 60 m = 240 m
∴ Perimeter of rectangular field = 240 m
⇒ 2(l + b) = 240
⇒ 2(80 + b) = 240
where b m is the breadth of the rectangular field
⇒ 80 + b = ⇒ 80 + bx = 120
⇒ b = 120 – 80 = 40
∴ Breadth = 40 m
∴ Area of rectangular field
= l x b = 80 m x 40 m = 3,200
So, the square field (a) has a larger area
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 ₹ 55 per .
Area of the square plot = a x a
= 25 x 25 = 625
Area of the house = a x b
= 20 x 15 = 300
∴ Area of the garden
= Area of the square plot – Area of the house
= 625 – 300
∵ The cost of developing the garden per square metre = ₹ 55.
∴ Total cost of developing the garden
= ₹ 325 x 55
= ₹ 17,875.
The shape of a garden is rectangular in the middle and semicircular at the ends as shown in the diagram. Find the area and the perimeter of this garden.
A flooring tile has the shape of a parallelogram whose base is 24 cm and the cor-responding 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).
Area of a flooring tile = bh
= 24 x 10
Area of the floor
= 1080 x 100 x 100
∵ m2 = 100 x 100
∴ Number of tiles required to cover the floor
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, the circumference of a circle can be obtained by using the expression c = 2πr, where r is the radius of the circle.
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