Download presentation

1
Area of shapes © T Madas

2
Squares & Rectangles © T Madas

3
**Area of a Square Area = length x width A = l x w w l E.g.**

Area = side x side A = s x s Area s s © T Madas

4
**Area of a Square Area = length x width A = l x w E.g. A = 5 = 25 cm2**

Area = side x side A = s x s Area s s E.g. © T Madas

5
**Area of a Square Area = length x width A = l x w E.g. A = 5 = 25 cm2**

Area = side x side A = s x s Area 7 cm E.g. A = 7 x 7 = 49 cm2 7 cm © T Madas

6
**Area of a Rectangle Area = length x width A = l x w w l E.g.**

Area = base x height Area h A = b x h b © T Madas

7
**Area of a Rectangle Area = length x width A = l x w E.g. A = 9 = 36**

4 cm E.g. A = 9 x 4 = 36 cm2 9 cm Area = base x height Area h A = b x h b E.g. © T Madas

8
**Area of a Rectangle Area = length x width A = l x w E.g. A = 9 = 36**

4 cm E.g. A = 9 x 4 = 36 cm2 9 cm Area = base x height Area A = b x h 5 m E.g. A = 8 x 5 = 40 m2 8 m © T Madas

9
**Composites of squares and rectangles**

© T Madas

10
**Find this area A2 A1 A1= 5 x 2 = 10 cm2 2 cm A2= 2 x 3 = 6 cm2**

Total Area = 16 cm2 3 cm A2 5 cm 3 cm A1 2 cm 5 cm © T Madas

11
**– Find the area of these composite shapes 54 m2 + 8 x 8 = 64 8 64**

7 3 6 54 m2 3 x 7 = 21 + 3 x 11 = 33 3 11 Lengths in metres (m) 4 4 8 x 8 = 64 8 64 8 56 m2 – 8 © T Madas

12
© T Madas

13
**A2 A1 A2 A1 A1= 5 x 2 = 10 cm2 A2= 2 x 4 = 8 cm2 Total Area = 18 cm2**

Perimeter = 22 cm 5 cm A1= 5 x 2 = 10 m2 4 m A2= 7 x 4 = 28 m2 5 m Total Area = 38 m2 5 m 7 m A2 2 m A1 Perimeter = 32 m 9 m © T Madas

14
**A2 A1 A2 A1 A1= 8 x 2 = 16 cm2 A2= 7 x 3 = 21 cm2 Total Area = 37 cm2**

Perimeter = 34 cm 8 cm A1= 3 x 8 = 24 m2 6 m A2= 6 x 9 = 54 m2 6 m Total Area = 78 m2 8 m 9 m A2 3 m A1 Perimeter = 46 m 14 m © T Madas

15
Parallelograms © T Madas

16
**Area of a Parallelogram**

h Area b Area = base x height A = b x h E.g. © T Madas

17
**Area of a Parallelogram**

4 cm 7 cm Area = base x height A = b x h E.g. A = 7 x 4 = 28 cm2 © T Madas

18
**How to draw a parallelogram**

Start with the base For example: draw a horizontal line 10 squares long © T Madas

19
**How to draw a parallelogram**

Then draw a slopping line starting from one end of the bottom line. Start with the base For example: draw a horizontal line 10 squares long © T Madas

20
**How to draw a parallelogram**

Then draw a horizontal line 10 squares long Then draw a slopping line starting from one end of the bottom line. Start with the base For example: draw a horizontal line 10 squares long © T Madas

21
**How to draw a parallelogram**

Then draw a horizontal line 10 squares long Then draw a slopping line starting from one end of the bottom line. Join the 3 sides Start with the base For example: draw a horizontal line 10 squares long © T Madas

22
**How do we measure the height of a shape?**

a Set Square is used to draw Right Angles The height of this parallelogram is 8 cm Line up the zero © T Madas

23
**What is the area of these parallelograms?**

5 6 7 9 A = b x h = 7 x 5 A = b x h = 35 square units = 9 x 6 = 54 square units © T Madas

24
**What is the area of these parallelograms?**

4 6 7 4 A = b x h = 4 x 6 A = b x h = 24 square units = 7 x 4 = 28 square units © T Madas

25
Triangles © T Madas

26
**Area of a Triangle A = b h b A = 2 example: h b**

Area of the parallelogram: A = b x h Area of the triangle: b x h A = 2 © T Madas

27
**Area of a Triangle A = b h b A = 2 example: Area of the parallelogram:**

x h A = 2 4 cm 8 x 4 = 2 8 cm = 16 cm2 Area of the parallelogram: A = b x h Area of the triangle: b x h A = 2 © T Madas

28
**Area of a Triangle another example: another example: b b A = A = 2 2 8**

9 cm 6 cm 8 cm 5 cm b x h b x h A = A = 2 2 8 x 6 5 x 9 = = 2 2 = 24 cm2 = 22.5 cm2 © T Madas

29
**Another demonstration for the area of a triangle**

for the formula for the area of a triangle © T Madas

30
**Area of a Triangle A = b h b A = 2 Area of the rectangle: x h**

Area of triangle: b x h A = b 2 © T Madas

31
**How do we measure the height of a shape?**

a Set Square is used to draw Right Angles The height of this triangle is 8 cm Line up the zero © T Madas

32
**What is the area of these triangles?**

6 7 7 8 b x h b x h A = A = 2 2 7 x 6 8 x 7 = = 2 2 = 21 square units = 28 square units © T Madas

33
**What is the area of these triangles?**

6 6 8 8 b x h b x h A = A = 2 2 8 x 6 8 x 6 = = 2 2 = 24 square units = 24 square units © T Madas

34
Trapezia © T Madas

35
**Area of a Trapezium Area of the parallelogram: A = (B + b ) x h**

Area of the trapezium: A = 2 © T Madas

36
**Area of a Trapezium A = (B + b ) x h 2 for example: B + b A = 2 10 + 6**

56 m2 10 m A = (B + b ) x h 2 © T Madas

37
**Area of a Trapezium A = (B + b ) x h 2 for example: B + b A = 2 15 + 7**

7 cm B + b A = x h 2 8 cm 15 + 7 = x 8 2 = 88 cm2 15 cm A = (B + b ) x h 2 © T Madas

38
**What is the area of these trapeziums?**

4 10 5 6 8 6 B + b B + b A = x h A = x h 2 2 8 + 4 10 + 6 = x 5 = x 6 2 2 = 30 square units = 48 square units © T Madas

39
**What is the area of these trapeziums?**

5 4 9 6 3 9 B + b A = x h 2 B + b A = x h 9 + 5 = x 4 2 2 9 + 3 = x 6 = 28 square units 2 = 36 square units © T Madas

40
**more demonstrations for the trapezium formula**

© T Madas

41
**Area of a Trapezium (B + b ) x h A = 2 b h B b (B + b )**

We changed the trapezium into a triangle with base B + b and the same height as the trapezium © T Madas

42
Area of a Trapezium b (B + b ) x h A = h 2 B © T Madas

43
**more demonstrations for the trapezium formula**

© T Madas

44
**Area of a Trapezium h A = (B + b ) 2**

We changed the trapezium into a parallelogram with base B + b and a height, half the height of the original trapezium h A = (B + b ) x b 2 h b B (B + b ) © T Madas

45
Area of a Trapezium h A = (B + b ) x b 2 h B © T Madas

46
**more demonstrations for the trapezium formula**

© T Madas

47
**Area of a Trapezium [ ] b b h h B B b 2 2 B b A = + c 2 2 h A = x B 2**

x h b x h 2 2 B x h b x h A = + c 2 2 h A = x [ ] B + b 2 © T Madas

48
**more demonstrations for the trapezium formula**

© T Madas

49
Area of a Trapezium b h B B – b © T Madas

50
**Area of a Trapezium (B – b ) x h b x h 2 [ ] b h h B – b Bh – bh A =**

+ c 2 Bh bh A = bh + c – 2 2 bh Bh A = c + 2 2 h A = x [ ] B + b 2 © T Madas

51
The Area of a Kite © T Madas

52
**Calculate the area of the following Kite**

6 cm 9 cm © T Madas

53
**Calculate the area of the following Kite**

6 cm A = 9 x 3 ÷ 2 = 13.5 cm2 3 cm 9 cm Total Area = 27 cm2 is there another way to calculate the area of a kite? © T Madas

54
**Calculate the area of the following Kite**

6 cm A = 6 x 9 ÷ 2 = 27 cm2 9 cm is there another way to calculate the area of a kite? © T Madas

55
**Areas of shapes h h s b b b h h b B A = s x s A = b 2 A = B + b 2**

A = b x h A = l xw A = b x h A = b x h 2 b h h b B A = B + b 2 x h © T Madas

56
Revision on Areas Practice on Area © T Madas

57
**Revision on Areas 5 cm 4 cm 30 mm 5 cm 8 cm 9 m 9 m 10 mm 5 m 4 m 7 m**

© T Madas

58
**Revision on Areas 6 cm 5 cm 25 mm 6 cm 9 cm 8m 8 m 10 mm 5 m 4 m 7 m**

© T Madas

59
Revision on Areas Quick Test on Area © T Madas

60
**Revision on Areas 5 cm 4 cm 30 mm 5 cm 8 cm 9 m 9 m 10 mm 5 m 4 m 7 m**

© T Madas

61
**Revision on Areas 6 cm 5 cm 25 mm 6 cm 9 cm 8m 8 m 10 mm 5 m 4 m 7 m**

© T Madas

62
**Revision on Area and Perimeter**

Practice on Area & Perimeter © T Madas

63
**Revision on Area and Perimeter**

A = 24 m2 A = 40 m2 A = 16 m2 P = 22 m P = 32 m P = 22 m 4 m 12 mm 7 cm 12 cm 10 cm 9 mm 8 mm 6 cm 6 cm 10 mm 8 cm 8 cm A = 40mm2 A = 24 cm2 A = 24 cm2 P = 31mm P = 27 cm © T Madas P = 24 cm

64
**Revision on Area and Perimeter**

5 cm 6 cm 5 m 4 cm 5 cm 11 m 3 m 5 m 7 m 9 cm 5 m A = 21 m2 A = 28 cm2 A = 25 m2 P = 24 m P = 25 cm P = 32 m 15 mm 13 mm 15 cm 9 mm 7 mm 16 mm 9 cm 10 mm 12 mm 29 mm 12 cm A = 42mm2 A = 54 cm2 A = 220 mm2 P = 34mm P = 36 cm P = 70 mm © T Madas

65
**Revision on Area and Perimeter**

5 cm 12 mm 9 mm 8 mm 8 m 6 cm 4 cm 5 cm 10 m 10 m 8 m 10 mm 9 cm A = 40mm2 A = 96 m2 A = 28 cm2 P = 44 m P = 31mm P = 25 cm 15 mm 15 m 10 cm 16 mm 6 cm 10 m 8 m 11 m 10 mm 8 cm 29 mm 35 m A = 24 cm2 A = 220 mm2 A = 200 m2 P = 24 cm P = 70 mm P = 71 m © T Madas

66
**Revision on Area and Perimeter**

Quick Test Area & Perimeter © T Madas

67
**Revision on Area and Perimeter**

A = 24 m2 A = 40 m2 A = 16 m2 P = 22 m P = 32 m P = 22 m 4 m 12 mm 7 cm 12 cm 10 cm 9 mm 8 mm 6 cm 6 cm 10 mm 8 cm 8 cm A = 40mm2 A = 24 cm2 A = 24 cm2 P = 31mm P = 27 cm © T Madas P = 24 cm

68
**Revision on Area and Perimeter**

5 cm 6 cm 5 m 4 cm 5 cm 11 m 3 m 5 m 7 m 9 cm 5 m A = 21 m2 A = 28 cm2 A = 25 m2 P = 24 m P = 25 cm P = 32 m 15 mm 13 mm 15 cm 9 mm 7 mm 16 mm 9 cm 10 mm 12 mm 29 mm 12 cm A = 42mm2 A = 54 cm2 A = 220 mm2 P = 34mm P = 36 cm P = 70 mm © T Madas

69
**Revision on Area and Perimeter**

5 cm 12 mm 9 mm 8 mm 8 m 6 cm 4 cm 5 cm 10 m 10 m 8 m 10 mm 9 cm A = 40mm2 A = 96 m2 A = 28 cm2 P = 44 m P = 31mm P = 25 cm 15 mm 15 m 10 cm 16 mm 6 cm 10 m 8 m 11 m 10 mm 8 cm 29 mm 35 m A = 24 cm2 A = 220 mm2 A = 200 m2 P = 24 cm P = 70 mm P = 71 m © T Madas

70
Missing Lengths Missing Lengths © T Madas

71
**Missing Lengths ? ? ? ? ? ? 4 m 4 m 10 m 6 m 4 m 4 m 8 mm 6 cm 5 cm**

A = 40 m2 A = 24 m2 A = 16 m2 4 m 4 m ? ? 6 m 10 m 4 m ? A = 40mm2 4 m A = 24 cm2 A = 20 cm2 8 mm ? 6 cm 5 cm 10 mm 8 cm ? 8 cm ? © T Madas

72
**Missing Lengths ? ? ? ? ? ? 9 m 7 m 12 m 9 m 9 m 5 m 6 mm 4 cm 6 cm**

A = 60 m2 A = 63 m2 A = 81 m2 7 m 9 m ? ? 9 m 12 m 9 m ? A = 30mm2 5 m A = 10 cm2 A = 24 cm2 6 mm ? 4 cm 6 cm 10 mm 5 cm ? 8 cm ? © T Madas

73
Missing Lengths Missing Lengths [quick test] © T Madas

74
**Missing Lengths ? ? ? ? ? ? 4 m 4 m 10 m 6 m 4 m 4 m 8 mm 6 cm 5 cm**

A = 40 m2 A = 24 m2 A = 16 m2 4 m 4 m ? ? 6 m 10 m 4 m ? A = 40mm2 4 m A = 24 cm2 A = 20 cm2 8 mm ? 6 cm 5 cm 10 mm 8 cm ? 8 cm ? © T Madas

75
**Missing Lengths ? ? ? ? ? ? 9 m 7 m 12 m 9 m 9 m 5 m 6 mm 4 cm 6 cm**

A = 60 m2 A = 63 m2 A = 81 m2 7 m 9 m ? ? 9 m 12 m 9 m ? A = 30mm2 5 m A = 10 cm2 A = 24 cm2 6 mm ? 4 cm 6 cm 10 mm 5 cm ? 8 cm ? © T Madas

76
Areas on a Grid © T Madas

77
**35 54 45 64 What is the area of these parallelograms? 5 6 7 9 5 8 9 8**

© T Madas

78
**36 60 35 56 What is the area of these parallelograms? 6 6 6 10 5 8 7 7**

© T Madas

79
**25 28 24 35 What is the area of these parallelograms? 4 7 5 5 5 6 7 4**

© T Madas

80
**30 55 63 49 What is the area of these parallelograms? 5 5 6 11 7 9 7 7**

© T Madas

81
**30 56 20 42 What is the area of these parallelograms? 8 7 5 6 6 5 7 4**

© T Madas

82
**21 27 25 32 What is the area of these triangles? 6 6 7 9 5 8 10 8**

© T Madas

83
**18 30 35 28 What is the area of these triangles? 6 6 6 10 5 8 14 7**

© T Madas

84
**14 20 35 12 What is the area of these triangles? 4 7 5 8 10 6 7 4**

© T Madas

85
**15 30 24.5 31.5 What is the area of these triangles? 5 5 6 12 7 9 7 7**

© T Madas

86
**28 15 21 10 What is the area of these triangles? 8 7 5 6 6 7 5 4**

© T Madas

87
**35 45 30 60 What is the area of these trapeziums? 4 8 5 5 10 10 9 8 5**

12 © T Madas

88
**48 63 36 40 What is the area of these trapeziums? 5 6 9 10 4 11 12 3 4**

17 © T Madas

89
**45 60 34 28 What is the area of these trapeziums? 4 6 8 10 5 11 12 9 4**

© T Madas

90
Quick Test on Areas on a Grid © T Madas

91
**35 54 45 64 What is the area of these parallelograms? 5 6 7 9 5 8 9 8**

© T Madas

92
**36 60 35 56 What is the area of these parallelograms? 6 6 6 10 5 8 7 7**

© T Madas

93
**25 28 24 35 What is the area of these parallelograms? 4 7 5 5 5 6 7 4**

© T Madas

94
**30 55 63 49 What is the area of these parallelograms? 5 5 6 11 7 9 7 7**

© T Madas

95
**30 56 20 42 What is the area of these parallelograms? 8 7 5 6 6 5 7 4**

© T Madas

96
**21 27 25 32 What is the area of these triangles? 6 6 7 9 5 8 10 8**

© T Madas

97
**18 30 35 28 What is the area of these triangles? 6 6 6 10 5 8 14 7**

© T Madas

98
**14 20 35 12 What is the area of these triangles? 4 7 5 8 10 6 7 4**

© T Madas

99
**15 30 24.5 31.5 What is the area of these triangles? 5 5 6 12 7 9 7 7**

© T Madas

100
**28 15 21 10 What is the area of these triangles? 8 7 5 6 6 7 5 4**

© T Madas

101
**35 27 45 32 What is the area of these shapes? 5 6 7 9 5 8 9 8**

© T Madas

102
**60 18 56 35 What is the area of these shapes? 6 6 10 6 5 8 14 7**

© T Madas

103
**36 30 35 28 What is the area of these shapes? 6 6 6 10 5 8 7 7**

© T Madas

104
**54 21 64 25 What is the area of these shapes? 6 6 9 7 5 8 10 8**

© T Madas

105
**25 14 24 35 What is the area of these shapes? 4 7 5 5 10 6 7 4**

© T Madas

106
**30 28 20 21 What is the area of these shapes? 8 7 5 6 6 7 5 4**

© T Madas

107
**28 20 35 12 What is the area of these shapes? 4 7 5 8 5 6 7 4**

© T Madas

108
**30 30 63 24.5 What is the area of these shapes? 5 5 6 12 7 9 7 7**

© T Madas

109
**55 15 49 31.5 What is the area of these shapes? 5 5 6 11 7 9 7 7**

© T Madas 7

110
**56 15 42 10 What is the area of these shapes? 8 7 5 6 6 7 5 4**

© T Madas

111
**35 45 30 60 What is the area of these trapeziums? 4 8 5 5 10 10 9 8 5**

12 © T Madas

112
**48 63 36 40 What is the area of these trapeziums? 5 6 9 10 4 11 12 3 4**

17 © T Madas

113
**45 60 34 28 What is the area of these trapeziums? 4 6 8 10 5 11 12 9 4**

© T Madas

114
© T Madas

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google