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Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions

Activity (Text book Page No. 39)

Question 1.
Observe the following shapes and answer the questions given below.
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 1
i) Mark the closed shapes as ‘✓’ and open shapes as ‘✗’
ii) Find the measure of the boundary of closed shapes by using a ruler.
iii) Which closed shape has the shortest boundary?
iv) Which closed shape has the longest boundary?
Activity to be done by the students themselves

Try this (Text book Page No. 40)

Question 1.
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 2
Is the perimeter of the given shape possible ? why ?
Solution:
Not possible. Because perimeter is the length of the boundaries of any closed shape. It is not a closed shape.

Try These (Text book Page No.41)

Question 1.
Draw a shape with perimeter 16 cm in a dot sheet.
Solution:
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 3

Question 2.
What is the perimeter of a rectangle if the length is twice its breadth?
Solution:
Perimeter of a rectangle = 2(l + b) units
= 2 × (2b + b) units
= 2 × 3b units = 6b units
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 4
Perimeter of a rectangle = 6b units.

Question 3.
What would be the perimeter of a square if its side is reduced to half?
Solution:
Let a side of a square = s units.
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 5
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions

Question 4.
What is the perimeter of a triangle if all sides are equal in length?
Solution:
Perimeter of a triangle P = sum of its 3 sides.
If all sides are equal, it is an equilateral triangle with side say a.
Perimeter = a + a + a units = 3a units

Activity (Text book Page No. 41)

Question 1.
Choose any five items like Table, A4 sheet, Note-book, etc in the classroom. Guess the approximate length of each side by observation and write down the estimated perimeter of the item. Then, measure by using ruler and record the actual perimeter and find the difference in the following table (to the nearest cm)
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 6
Solution:
Activity to be done by the students themselves

Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions

Try this (Text book Page No. 42)

Question 1.
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 7
Can different shapes have the same perimeter
Solution:
Yes, different shapes can have the same perimeter.

Try These (Text book Page No. 43)

Question 1.
Find the breadth of the rectangle with perimeter 14 m and length 4 m.
Solution:
Given perimeter of the rectangle P = 14 m
length l = 4 m
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 8

Question 2.
The perimeter of an isosceles triangle is 21 cm. Find the measure of equal sides given that the third side is 5 cm.
Solution:
Perimeter of the triangle P = (a + b + c) units.
21 = [(a + b) + 5] cm
21 – 5 = a + b
16 = a + b
Here a and b are equal sides and let a = b
16 = a + a
2a = 16
\(a=\frac{16}{2}\)
a = 8 cm.
∴ Equal sides measure 8 cm.

Try these (Text book Page No. 44)

Question 1.
Find the number of tiles required to fill the area of following figures
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 50
Solution:
i) Total number of tiles required = 16
Number of tiles already filled = 7
Remaining required tiles = 16 – 7 = 9
ii) Total number of tiles required = 12
Number of tiles already filled = 6
Remaining required tiles = 12 – 6 = 6
iii) Total number of tiles required = 12
Number of tiles already filled = 6
Remaining required tiles = 12 – 6 = 6
iv) Total number of tiles required = 16
Number of tiles already filled = 8
Remaining required tiles = 16 – 8 = 8

Activity (Text book Page No. 45)

Question 1.
Mark the base and height of the following right angled triangle.
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 60
Solution:
Activity to be done by the students themselves

Try These (Text book Page No. 45)

Question 1.
Draw the following in a graph sheet?
i) Two different rectangles whose areas are 16cm2
Solution:
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 61
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 62
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 63
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 64

Activity (Text book Page No. 46)

Question 1.
Find the area of the given ‘L’ shaped rectangular figure by dividing it into squares of equal sizes
Solution:
Activity to be done by the students themselves

Try this (Text book Page No.46)

Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions

Question 2.
Can you find the area of ‘L’ shaped figure as the difference between two areas.
Solution:
Here Area of L shape = (Area of the rectangle ABCD)
(Area of the rectangle GFHB) = (2 × 3) – (2 × 1) cm2
= 6 – 2 cm2 = 4 cm2

Try these (Text book Page No. 46)

Question 1.
Measure using ruler and find the perimeter of each of the following diagram
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 66
Solution:
i) Perimeter = 2.5 + 0.5 + 1 + 1 + 0.5 + 1 + 0.5 + 1 + 0.5 + 1.5 = 10 cm
ii) Perimeter = 2.5 + 0.5 + 2.5 + 0.5 + 0.5 cm = 6.5 cm
iii) Perimeter = 0.5 + 1 + 0.5 + 0.5 + 1 + 1 + 0.5 + 1 + 1.5 + 0.5 + 1 + 0.5 cm = 9 cm
iv) Perimeter = 2 + 0.5 + 1.5 + 1.5 + 0.5 + 0.5 + 2 + 1 cm = 9.5 cm

Activity (Text book Page No 46)

Question 1.
Form all possible shapes of perimeter 80 cm with 9 identical squares, each of side 4 cm.
Solution:
Activity to be done by the students themselves

Activity

Question 2.
Cut a rectangular sheet along one of its diagonals. Two identical scalene right angled triangles are obtained. Join them along their sides of identical length in all possible ways. Six different shapes can be obtained. Four of them are given. Find the remaining two shapes. Find the perimeter of all the six shapes and fill in the table.
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 70
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 71
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 73
Based on the above activity answer the following questions:
i) Are the perimeters same for all the shapes?
ii) Which shape has the longest perimeter?
iii) Which shape has the shortest perimeter?
iv) Are the areas of all the shapes same? why?
Solution:
Activity to be done by the students themselves

Try These (Text book Page No. 49)

Question 1.
Find the approximate area of the following figures:
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 72
Solution:
Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions 75

Samacheer Kalvi 6th Maths Solutions Term 3 Chapter 3 Perimeter and Area Intext Questions

Try these (Text book Page No. 50)

Question 2.
Fill in the blanks.
(i) 7 cm2 = ____ mm2
Hint: 1 cm2 = 100 m
Solution:
700

(ii) 10 m2 = ___ cm2
Hint: 1 m2 = 10000 cm2
Solution:
1,00,000

(iii) 3 km2 = ____ m2
Hint: 1 km2 = 1000000
Solution:
30,00,000

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