Mensuration Chapter 11: Perimeter and Area of Plane Closed Figures

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Questions and Answers

What is the area of the rectangular park with length 30 m and width 20 m?

450 m²

300 m²

750 m²

600 m² (correct)

If 1 bag of cement is required to cement 4 m² area, how many bags of cement would be required to construct a cemented path of 70 m² area?

15 bags

18 bags

17 bags

16 bags (correct)

What is the perimeter of a rectangular park with length 30 m and width 20 m?

50 m

80 m

100 m (correct)

150 m

What is the region covered by a closed plane figure referred to as?

Area Signup and view all the answers

What is the distance around the boundary of a closed plane figure called?

Perimeter Signup and view all the answers

In the context of cementing a path, if the area of the park is 30m x 20m, and the path is 1m wide, what is the total number of cement bags used?

224 Signup and view all the answers

What is the area covered by grass in the park if there are two rectangular flower beds of size 1.5m x 2m each?

520.5 sq. m Signup and view all the answers

If a square and a rectangular field have the same perimeter, which field has a larger area?

The rectangular field Signup and view all the answers

If a flooring tile has the shape of a parallelogram with a base of 24 cm and a height of 10 cm, how many tiles are required to cover a floor area of 1080 sq. cm?

64 Signup and view all the answers

For which food-piece would an ant have to take a longer round if it's moving around a few food pieces of different shapes scattered on the floor?

Circle with a radius of 5m Signup and view all the answers

Why is reproduction essential for the continuation of a species?

Reproduction is essential for the continuation of a species as it ensures the continuation of similar kinds of individuals, generation after generation. Signup and view all the answers

What are the two modes by which animals reproduce?

Animals reproduce through two modes, similar to plants. Signup and view all the answers

Give an example of a young one of an animal.

Chick (from a hen) Signup and view all the answers

Why is the process of reproduction important for every individual?

Reproduction is important for every individual as it ensures the survival of the species. Signup and view all the answers

What is the purpose of learning about reproduction in animals?

Learning about reproduction in animals helps us understand how different species continue to exist. Signup and view all the answers

What would have happened if organisms had not reproduced?

If organisms had not reproduced, the continuation of similar kinds of individuals would not have been possible. Signup and view all the answers

What are the two types of reproduction mentioned in the text?

Sexual reproduction and Asexual reproduction Signup and view all the answers

What are the male reproductive parts in plants and animals called?

Male reproductive parts in plants are called male reproductive parts, while in animals, they are called male reproductive organs Signup and view all the answers

What is the purpose of the tail in a sperm?

To help the sperm swim and move towards the egg for fertilization Signup and view all the answers

What are the female reproductive organs in humans?

Ovaries, oviducts (fallopian tubes), and the uterus Signup and view all the answers

What is released into the oviduct by one of the ovaries every month in human females?

A single matured egg Signup and view all the answers

What is the first step in the process of reproduction?

The fusion of a sperm and an ovum, known as fertilization Signup and view all the answers

What is the result of the fusion of the nuclei of the sperm and the egg?

Formation of a fertilized egg or zygote Signup and view all the answers

What is the largest egg mentioned in the text?

Ostrich egg Signup and view all the answers

What happens during fertilization?

The nuclei of the sperm and the egg fuse to form a single nucleus Signup and view all the answers

What is a zygote?

A fertilized egg Signup and view all the answers

Study Notes

Area and Perimeter of Rectangular Shapes

Area of a rectangular park with length 30m and width 20m is 30m x 20m = 600m²
Perimeter of a rectangular park with length 30m and width 20m is 2(l + w) = 2(30 + 20) = 100m

Cementing a Path

1 bag of cement is required to cement 4m² area
To construct a cemented path of 70m² area, 70m² / 4m² = 17.5 bags of cement would be required

Context of Cementing a Path

If the area of the park is 30m x 20m, and the path is 1m wide, the total area of the path is 30m x 20m - 28m x 18m = 70m²
To cement the path, 70m² / 4m² = 17.5 bags of cement would be required

Area and Perimeter of General Shapes

Region covered by a closed plane figure is referred to as area
Distance around the boundary of a closed plane figure is called perimeter

Area Covered by Grass in a Park

If there are two rectangular flower beds of size 1.5m x 2m each, the total area of the flower beds is 2(1.5m x 2m) = 6m²
Area covered by grass in the park is 30m x 20m - 6m² = 594m²

Comparison of Areas

If a square and a rectangular field have the same perimeter, the square field has a larger area

Area of Parallelogram

If a flooring tile has the shape of a parallelogram with a base of 24 cm and a height of 10 cm, the area of the tile is 24 cm x 10 cm = 240 sq.cm
To cover a floor area of 1080 sq.cm, 1080 sq.cm / 240 sq.cm = 4.5 tiles are required

Shapes and Perimeter

An ant has to take a longer round if it's moving around a circle-shaped food piece

Reproduction in Animals

Reproduction is essential for the continuation of a species
Two modes of reproduction are: sexual reproduction and asexual reproduction
Example of a young one of an animal is a kitten

Importance of Reproduction

Reproduction is important for every individual to ensure the continuation of the species
Purpose of learning about reproduction in animals is to understand the life cycle of species

Consequences of No Reproduction

If organisms had not reproduced, species would have become extinct

Types of Reproduction

Two types of reproduction mentioned in the text are: sexual reproduction and asexual reproduction

Reproductive Parts in Plants and Animals

Male reproductive parts in plants and animals are called gametes
Purpose of the tail in a sperm is to aid movement
Female reproductive organs in humans are ovaries, oviduct, and uterus
One ovary releases an egg into the oviduct every month in human females

Process of Reproduction

First step in the process of reproduction is the fusion of nuclei of sperm and egg
Result of the fusion of the nuclei of the sperm and the egg is a zygote
Largest egg mentioned in the text is that of an ostrich

Fertilization

During fertilization, the sperm fuses with the egg
A zygote is the result of fertilization

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Description

Explore problems related to the perimeter and area of various plane closed figures in this chapter of mensuration. Learn to calculate the distance around the boundary and the region covered by different shapes such as quadrilaterals.