NCERT Solutions For Class 6 Maths Chapter 10 Exercise 10.1
Ncert Solutions for Class 6 Maths Chapter 10 Mensuration Exercise 10.1:-
Exercise 10.1 Class 6 maths NCERT solutions Chapter 10 Mensuration pdf download:-
Ncert Solution for Class 6 Maths Chapter 10 Mensuration Exercise 10.1 Textbook Solutions:-
Perimeter:-
It is the
length of the wire needed to form the figures.
The idea of the perimeter is widely used in our daily life.
A farmer who wants to fence his field.
An engineer who plans to build a compound wall on all sides of a house.
A person preparing a track to conduct sports.
All these people use the idea of ‘perimeter’.
Give five examples of situations where you need to know the perimeter.
Perimeter is the distance covered along the boundary forming a closed
figure when you go round the figure once.
the Perimeter of a rectangle = length + breadth + length + breadth
i.e. the Perimeter of a rectangle = 2 × (length + breadth)
the Perimeter of square = 1m + 1 m + 1 m + 1 m = 4 m
Now, we know that all the four sides of a square are equal, therefore, in
place of adding it four times, we can multiply the length of one side by 4.
Thus, the length of the tape required = 4 × 1 m = 4 m
The perimeter of an equilateral triangle = 3 × length of a side
What is similar between a square and an equilateral triangle? They are figures
having all the sides of equal length and all the angles of equal measure.
figures are known as regular closed figures. Thus, a
square and an equilateral triangle are regularly closed
figures.
You found that,
The perimeter of a square = 4 × length of one side
The perimeter of an equilateral triangle = 3 × length
of one side
So, what will be the perimeter of a regular
pentagon?
A regular pentagon has five equal sides.
Therefore, the perimeter of a regular pentagon = 5 × length of one side
A challenge!
On a centimetre squared paper, make as many rectangles as you can, such that
the area of the rectangle is 16 sq cm (consider only natural number lengths).
(a) Which rectangle has the greatest perimeter?
(b) Which rectangle has the least perimeter?
If you take a rectangle of the area of 24 sq cm, what will be your answers?
Given any area, is it possible to predict the shape of the rectangle with the
greatest perimeter? With the least perimeter? Give example and reason.
What have we discussed?
1. the Perimeter is the distance covered along the boundary forming a closed figure
when you go round the figure once.
2. (a)Perimeter of a rectangle = 2 × (length + breadth)
(b)Perimeter of a square = 4 × length of its side
(c)Perimeter of an equilateral triangle = 3 × length of a side
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