1. Area of shapes
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2. Squares & Rectangles
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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
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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.
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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
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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 8 647 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
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16. Area of a Parallelogramh
Area b
Area = base x height
A = b x h
E.g.
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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
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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
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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
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35. Area of a Trapezium Area of the parallelogram: A = (B + b ) x h
Area of the trapezium:
A = 2
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36. Area of a Trapezium A = (B + b ) x h 2 for example: B + b A = 2 10 + 656 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
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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
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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
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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
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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
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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
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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 8 512
© T Madas

88. 48 63 36 40 What is the area of these trapeziums? 5 6 9 10 4 11 12 3 417
© 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 8 512
© T Madas

112. 48 63 36 40 What is the area of these trapeziums? 5 6 9 10 4 11 12 3 417
© 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