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Visualizing the Area of 
a Trapezoid Formula 
@MathletePearce tapintoteenminds.com
Visualizing the Area of 
a Trapezoid Formula 
@MathletePearce tapintoteenminds.com
Triangle A Triangle B 
@MathletePearce tapintoteenminds.com
Area of Triangle A Area of Triangle B 
A = 
bh 
A = bh 2 
2 
@MathletePearce tapintoteenminds.com
Area of Triangle A Area of Triangle B 
bh 
A = A = 
bh 
2 
2 
base 
height 
height 
base 
@MathletePearce tapintoteenminds.com
Area of 
Triangle A Area of Triangle B 
A = 
A = 
bh 
2 
bh 
2 
base 
base 
height 
height 
@MathletePearce tapintoteenminds.com
Area of 
Triangle A Area of Triangle B 
A = 
A = 
bh 
2 
bh 
2 
base 
base 
height 
height 
@MathletePearce tapintoteenminds.com
Area of 
Triangle A 
Area of Triangle B 
A = 
A = 
bh 
2 
bh 
2 
base 
base 
height 
height 
@MathletePearce tapintoteenminds.com
Area of 
Triangle A Area of Triangle B 
A = 
A = 
bh 
2 
h 
a 
2 
base 
base 
height 
height 
a 
@MathletePearce tapintoteenminds.com
Area of 
Triangle A Area of Triangle B 
A = 
A = 
b 
bh 
2 
h 
a 
2 
base 
base 
height 
height 
a 
b 
@MathletePearce tapintoteenminds.com
Area of 
Triangle A Area of Triangle B 
A = 
A = 
b 
bh 
2 
h 
a 
2 
base 
base 
height 
height 
a 
b 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
ah b 
2 
2 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
b 
2 
h 
a 
2 
h 
a 
b 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
b 
2 
h 
a 
2 
h 
a 
b 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
b 
2 
h 
a 
2 
h 
a 
b 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
b 
2 
h 
a 
2 
h 
a 
b 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
b 
2 
h 
a 
ah 
2 
h 
a 
b 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
b 
2 
h 
a 
2 
h 
a 
b 
+ 
ah 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
b 
2 
h 
a 
2 
h 
a 
b 
+ 
ah 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
b 
2 
h 
a 
2 
h 
a 
b 
+ 
ah 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
b 
bh 
2 
h 
a 
2 
h 
a 
b 
+ 
ah 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
b 
2 
h 
a 
2 
h 
a 
b 
+ 
ah 
2 
bh 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
b 
2 
h 
a 
2 
h 
a 
b 
+ 
ah 
2 
bh 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
ah b 
2 
2 
+ 
ah 
2 
bh 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
ah b 
2 
2 
+ 
ah 
2 
bh 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
ah b 
2 
2 
+ 
bh 
2 
ah 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
ah b 
2 
2 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
ah b 
2 
2 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
ah b 
2 
2 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
ah b 
2 
2 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
ah b 
2 
2 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
ah b 
2 
2 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h 
ah b 
2 
2 
+ 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
h 
a 
b 
h 
ah + b 
A = 2 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
h 
a 
b 
h 
ah + b 
A = 2 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
h 
a 
b 
A = h 
ah + b 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
h 
a 
b 
ah + bh 
A = 2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
h 
a 
b 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com 
h 
a b
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com 
h 
a b
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com 
h 
a b
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
h 
a b 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com 
h 
a b
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com 
h 
a b
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com 
h 
a b
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
ah + 
bh 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
h 
a 
b 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
@MathletePearce tapintoteenminds.com 
h 
a b
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
@MathletePearce tapintoteenminds.com 
h 
a b
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
@MathletePearce tapintoteenminds.com
A = 
Area of a Trapezoid Formula 
h ( a + b 
) 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
A = 
h a b 
( + ) 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
ah + bh 
ah + b h 
A = 2 
A = 2 
A = 
h a b 
( + ) 
2 
2 
@MathletePearce tapintoteenminds.com
Area of a Trapezoid Formula 
ah + bh 
ah + b h 
A = 2 
A = 2 
A = 
h a b 
( + ) 
2 
2 
@MathletePearce tapintoteenminds.com

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Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

  • 1. Visualizing the Area of a Trapezoid Formula @MathletePearce tapintoteenminds.com
  • 2. Visualizing the Area of a Trapezoid Formula @MathletePearce tapintoteenminds.com
  • 3. Triangle A Triangle B @MathletePearce tapintoteenminds.com
  • 4. Area of Triangle A Area of Triangle B A = bh A = bh 2 2 @MathletePearce tapintoteenminds.com
  • 5. Area of Triangle A Area of Triangle B bh A = A = bh 2 2 base height height base @MathletePearce tapintoteenminds.com
  • 6. Area of Triangle A Area of Triangle B A = A = bh 2 bh 2 base base height height @MathletePearce tapintoteenminds.com
  • 7. Area of Triangle A Area of Triangle B A = A = bh 2 bh 2 base base height height @MathletePearce tapintoteenminds.com
  • 8. Area of Triangle A Area of Triangle B A = A = bh 2 bh 2 base base height height @MathletePearce tapintoteenminds.com
  • 9. Area of Triangle A Area of Triangle B A = A = bh 2 h a 2 base base height height a @MathletePearce tapintoteenminds.com
  • 10. Area of Triangle A Area of Triangle B A = A = b bh 2 h a 2 base base height height a b @MathletePearce tapintoteenminds.com
  • 11. Area of Triangle A Area of Triangle B A = A = b bh 2 h a 2 base base height height a b @MathletePearce tapintoteenminds.com
  • 12. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  • 13. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + @MathletePearce tapintoteenminds.com
  • 14. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + @MathletePearce tapintoteenminds.com
  • 15. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + @MathletePearce tapintoteenminds.com
  • 16. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + @MathletePearce tapintoteenminds.com
  • 17. Area of a Trapezoid Formula A = h b 2 h a ah 2 h a b + @MathletePearce tapintoteenminds.com
  • 18. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + ah 2 @MathletePearce tapintoteenminds.com
  • 19. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + ah 2 @MathletePearce tapintoteenminds.com
  • 20. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + ah 2 @MathletePearce tapintoteenminds.com
  • 21. Area of a Trapezoid Formula A = h b bh 2 h a 2 h a b + ah 2 @MathletePearce tapintoteenminds.com
  • 22. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + ah 2 bh 2 @MathletePearce tapintoteenminds.com
  • 23. Area of a Trapezoid Formula A = h b 2 h a 2 h a b + ah 2 bh 2 @MathletePearce tapintoteenminds.com
  • 24. Area of a Trapezoid Formula A = h ah b 2 2 + ah 2 bh 2 @MathletePearce tapintoteenminds.com
  • 25. Area of a Trapezoid Formula A = h ah b 2 2 + ah 2 bh 2 @MathletePearce tapintoteenminds.com
  • 26. Area of a Trapezoid Formula A = h ah b 2 2 + bh 2 ah 2 @MathletePearce tapintoteenminds.com
  • 27. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  • 28. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  • 29. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  • 30. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  • 31. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  • 32. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  • 33. Area of a Trapezoid Formula A = h ah b 2 2 + @MathletePearce tapintoteenminds.com
  • 34. Area of a Trapezoid Formula h a b h ah + b A = 2 2 @MathletePearce tapintoteenminds.com
  • 35. Area of a Trapezoid Formula h a b h ah + b A = 2 2 @MathletePearce tapintoteenminds.com
  • 36. Area of a Trapezoid Formula h a b A = h ah + b 2 @MathletePearce tapintoteenminds.com
  • 37. Area of a Trapezoid Formula h a b ah + bh A = 2 @MathletePearce tapintoteenminds.com
  • 38. A = Area of a Trapezoid Formula ah + bh 2 h a b @MathletePearce tapintoteenminds.com
  • 39. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  • 40. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  • 41. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  • 42. A = Area of a Trapezoid Formula ah + bh 2 h a b @MathletePearce tapintoteenminds.com
  • 43. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  • 44. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  • 45. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com h a b
  • 46. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 47. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 48. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 49. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 50. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 51. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 52. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 53. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 54. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 55. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 56. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 57. A = Area of a Trapezoid Formula ah + bh 2 @MathletePearce tapintoteenminds.com
  • 58. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  • 59. A = Area of a Trapezoid Formula h ( a + b ) 2 h a b @MathletePearce tapintoteenminds.com
  • 60. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com h a b
  • 61. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com h a b
  • 62. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  • 63. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  • 64. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  • 65. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  • 66. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  • 67. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  • 68. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  • 69. A = Area of a Trapezoid Formula h ( a + b ) 2 @MathletePearce tapintoteenminds.com
  • 70. Area of a Trapezoid Formula A = h a b ( + ) 2 @MathletePearce tapintoteenminds.com
  • 71. Area of a Trapezoid Formula ah + bh ah + b h A = 2 A = 2 A = h a b ( + ) 2 2 @MathletePearce tapintoteenminds.com
  • 72. Area of a Trapezoid Formula ah + bh ah + b h A = 2 A = 2 A = h a b ( + ) 2 2 @MathletePearce tapintoteenminds.com