The document explains the formula for calculating the area of a trapezoid, specifically emphasizing the relationship between the bases and the height. It presents multiple iterations of the formula, which express the area 'A' as A = h(a + b)/2, where 'a' and 'b' are the lengths of the parallel sides and 'h' is the height. Repeated references to the area of triangles are included, reinforcing the principles behind the trapezoid's area calculation.

1. Visualizing the Area of
a Trapezoid Formula
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2. Visualizing the Area of
a Trapezoid Formula
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3. Triangle A Triangle B
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4. Area of Triangle A Area of Triangle B
A =
bh
A = bh 2
2
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5. Area of Triangle A Area of Triangle B
bh
A = A =
bh
2
2
base
height
height
base
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6. Area of
Triangle A Area of Triangle B
A =
A =
bh
2
bh
2
base
base
height
height
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7. Area of
Triangle A Area of Triangle B
A =
A =
bh
2
bh
2
base
base
height
height
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8. Area of
Triangle A
Area of Triangle B
A =
A =
bh
2
bh
2
base
base
height
height
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9. Area of
Triangle A Area of Triangle B
A =
A =
bh
2
h
a
2
base
base
height
height
a
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10. Area of
Triangle A Area of Triangle B
A =
A =
b
bh
2
h
a
2
base
base
height
height
a
b
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11. Area of
Triangle A Area of Triangle B
A =
A =
b
bh
2
h
a
2
base
base
height
height
a
b
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12. Area of a Trapezoid Formula
A =
h
ah b
2
2
+
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13. Area of a Trapezoid Formula
A =
h
b
2
h
a
2
h
a
b
+
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14. Area of a Trapezoid Formula
A =
h
b
2
h
a
2
h
a
b
+
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15. Area of a Trapezoid Formula
A =
h
b
2
h
a
2
h
a
b
+
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16. Area of a Trapezoid Formula
A =
h
b
2
h
a
2
h
a
b
+
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17. Area of a Trapezoid Formula
A =
h
b
2
h
a
ah
2
h
a
b
+
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18. Area of a Trapezoid Formula
A =
h
b
2
h
a
2
h
a
b
+
ah
2
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19. Area of a Trapezoid Formula
A =
h
b
2
h
a
2
h
a
b
+
ah
2
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20. Area of a Trapezoid Formula
A =
h
b
2
h
a
2
h
a
b
+
ah
2
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21. Area of a Trapezoid Formula
A =
h
b
bh
2
h
a
2
h
a
b
+
ah
2
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22. Area of a Trapezoid Formula
A =
h
b
2
h
a
2
h
a
b
+
ah
2
bh
2
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23. Area of a Trapezoid Formula
A =
h
b
2
h
a
2
h
a
b
+
ah
2
bh
2
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24. Area of a Trapezoid Formula
A =
h
ah b
2
2
+
ah
2
bh
2
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25. Area of a Trapezoid Formula
A =
h
ah b
2
2
+
ah
2
bh
2
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26. Area of a Trapezoid Formula
A =
h
ah b
2
2
+
bh
2
ah
2
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27. Area of a Trapezoid Formula
A =
h
ah b
2
2
+
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28. Area of a Trapezoid Formula
A =
h
ah b
2
2
+
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29. Area of a Trapezoid Formula
A =
h
ah b
2
2
+
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30. Area of a Trapezoid Formula
A =
h
ah b
2
2
+
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31. Area of a Trapezoid Formula
A =
h
ah b
2
2
+
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32. Area of a Trapezoid Formula
A =
h
ah b
2
2
+
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33. Area of a Trapezoid Formula
A =
h
ah b
2
2
+
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34. Area of a Trapezoid Formula
h
a
b
h
ah + b
A = 2
2
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35. Area of a Trapezoid Formula
h
a
b
h
ah + b
A = 2
2
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36. Area of a Trapezoid Formula
h
a
b
A = h
ah + b
2
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37. Area of a Trapezoid Formula
h
a
b
ah + bh
A = 2
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38. A =
Area of a Trapezoid Formula
ah +
bh
2
h
a
b
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39. A =
Area of a Trapezoid Formula
ah +
bh
2
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h
a b

40. A =
Area of a Trapezoid Formula
ah +
bh
2
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h
a b

41. A =
Area of a Trapezoid Formula
ah +
bh
2
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h
a b

42. A =
Area of a Trapezoid Formula
ah +
bh
2
h
a b
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43. A =
Area of a Trapezoid Formula
ah +
bh
2
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h
a b

44. A =
Area of a Trapezoid Formula
ah +
bh
2
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h
a b

45. A =
Area of a Trapezoid Formula
ah +
bh
2
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h
a b

46. A =
Area of a Trapezoid Formula
ah +
bh
2
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47. A =
Area of a Trapezoid Formula
ah +
bh
2
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48. A =
Area of a Trapezoid Formula
ah +
bh
2
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49. A =
Area of a Trapezoid Formula
ah +
bh
2
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50. A =
Area of a Trapezoid Formula
ah +
bh
2
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51. A =
Area of a Trapezoid Formula
ah +
bh
2
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52. A =
Area of a Trapezoid Formula
ah +
bh
2
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53. A =
Area of a Trapezoid Formula
ah +
bh
2
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54. A =
Area of a Trapezoid Formula
ah +
bh
2
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55. A =
Area of a Trapezoid Formula
ah +
bh
2
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56. A =
Area of a Trapezoid Formula
ah +
bh
2
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57. A =
Area of a Trapezoid Formula
ah +
bh
2
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58. A =
Area of a Trapezoid Formula
h ( a + b
)
2
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59. A =
Area of a Trapezoid Formula
h ( a + b
)
2
h
a
b
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60. A =
Area of a Trapezoid Formula
h ( a + b
)
2
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h
a b

61. A =
Area of a Trapezoid Formula
h ( a + b
)
2
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h
a b

62. A =
Area of a Trapezoid Formula
h ( a + b
)
2
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63. A =
Area of a Trapezoid Formula
h ( a + b
)
2
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64. A =
Area of a Trapezoid Formula
h ( a + b
)
2
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65. A =
Area of a Trapezoid Formula
h ( a + b
)
2
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66. A =
Area of a Trapezoid Formula
h ( a + b
)
2
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67. A =
Area of a Trapezoid Formula
h ( a + b
)
2
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68. A =
Area of a Trapezoid Formula
h ( a + b
)
2
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69. A =
Area of a Trapezoid Formula
h ( a + b
)
2
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70. Area of a Trapezoid Formula
A =
h a b
( + )
2
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71. Area of a Trapezoid Formula
ah + bh
ah + b h
A = 2
A = 2
A =
h a b
( + )
2
2
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72. Area of a Trapezoid Formula
ah + bh
ah + b h
A = 2
A = 2
A =
h a b
( + )
2
2
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