Areas of simple shapes for GCSE mathematics

1. Shape and space: area & perimeter BTEOTSSBAT: Find the area and perimeter of simple shapes

2. Key words Dimension Area Perimeter Height Length Width Circumference Parallelogram Trapezium

3. Dimensions

4. Dimensions

5. Dimensions 1 D

6. Dimensions 1 D length

7. Dimensions mm cm m km 1 D length

8. Dimensions mm cm m km 1 D length

9. Dimensions mm cm m km 1 D length 2 D

10. Dimensions mm cm m km 1 D length 2 D area

11. Dimensions mm cm m km 1 D length 2 D mm² cm² m² km² area

12. Dimensions mm cm m km 1 D length 2 D mm² cm² m² km² area

13. Dimensions mm cm m km 1 D length 2 D mm² cm² m² km² area 3 D

14. Dimensions mm cm m km 1 D length 2 D mm² cm² m² km² area 3 D volume

15. Dimensions mm cm m km 1 D length 2 D mm² cm² m² km² area 3 D mm³ cm³ m³ km³ volume

16. Perimeter The perimeter of a shape is the distance around its edges.

17. Perimeter The perimeter of a shape is the distance around its edges. Example Find the perimeter of this room

18. Perimeter The perimeter of a shape is the distance around its edges. Example To find the perimeter we need to know the lengths of some of the missing sides. The side joining shapes (a) and (b) is 7 in total, but 3 is missing from it so it has a length of 7 -3 = 4. The total perimeter will be: shape (a) 7 + 7 + 7 + 4 = 25 shape (b) 3 + 3 +3 = 9 total = 25 + 9 = 34 units. Find the perimeter of this room

19. Now try these 1 Find the perimeter of the following shapes: (a) (b) 4 cm 6 cm 4 cm 4 cm 4 cm 2 cm

20. (c) (d) All dimensions in metres

21. The perimeter of a circle The perimeter of a circle is called the circumference.

22. The perimeter of a circle The perimeter of a circle is called the circumference. The circumference = π  diameter or 2  π  radius

23. The perimeter of a circle The perimeter of a circle is called the circumference. The circumference = π  diameter or 2  π  radius Cherry pies delicious

24. The perimeter of a circle The perimeter of a circle is called the circumference. The circumference = π  diameter or 2  π  radius Find the circumference of these circles 2 cm 10 cm 1 m

30. Now try these 2 1. Find the area of these triangles: 5.2 cm 5 cm 4 cm 6.1 cm 4 cm 3 cm 5 cm

32. Parallelogram Width Height

33. Parallelogram Width Height

34. Parallelogram Width Height

35. Parallelogram Width Height

36. Parallelogram Width Height

37. Parallelogram Width Height

38. Parallelogram Width Height

39. Parallelogram Width Height

40. Parallelogram Width Height Area = height x width!

43. Trapezium a Height b

44. Trapezium a Height b

45. Trapezium a Height b

46. Trapezium a Height b

47. Trapezium a Height b

48. Trapezium a Height b

49. Trapezium a Height b

50. Trapezium a Height b

51. Trapezium a Height b

52. Trapezium a Height b

53. Trapezium a Height b

54. Trapezium a Height b

55. Trapezium a Height b

56. Trapezium a Height ½ (a + b) b

57. Trapezium a Height ½ (a + b) Area = ½ (a + b)x h b

59. Area = πr²

60. Cherry pies delicious Apple pies are 2 Area = πr²

61. Area = πr²

62. 2. Find the area of the following circles: r = 4 cm r = 2.5 cm r = 3 cm D = 12 cm D = 24 cm

63. 3. Find the area of the following shapes: 5 cm 12 cm 4 cm 4 cm 10 cm 4 cm 10 cm 4 cm 3 cm 3 cm 8 cm