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

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Page 1: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Visualizing the Area of a Trapezoid Formula

@MathletePearce tapintoteenminds.com

Page 2: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Visualizing the Area of a Trapezoid Formula

@MathletePearce tapintoteenminds.com

Page 3: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

@MathletePearce tapintoteenminds.com

Triangle A Triangle B

Page 4: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2bhA =2

bhArea of Area ofTriangle A Triangle B

Page 5: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =A =

@MathletePearce tapintoteenminds.com

2bh

2bh

base

heig

ht

heig

ht

base

Area of Area ofTriangle A Triangle B

Page 6: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2bh

base

base

heig

ht

heig

ht

Page 7: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2bh

base

base

heig

ht

heig

ht

Page 8: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2bh

base

base

heig

ht

heig

htA

Page 9: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2h

base

base

heig

ht

heig

ht

a

a

Page 10: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2h

base

base

heig

ht

heig

ht

a

a

b

b

Page 11: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Area of

A =

Area ofTriangle A Triangle B

A =

@MathletePearce tapintoteenminds.com

2bh

2h

base

base

heig

ht

heig

ht

a

a

b

b

Page 12: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 13: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

Page 14: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

Page 15: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

Page 16: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

Page 17: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+2ha

Page 18: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

Page 19: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

Page 20: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

Page 21: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

2hb

Page 22: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

2hb

Page 23: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

2hb

Page 24: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

2ha

2hb

Page 25: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

2ha

2hb

Page 26: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

2hb

2ha

Page 27: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 28: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 29: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 30: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 31: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 32: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 33: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h

2ha b

Area of a Trapezoid Formula

+

Page 34: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

@MathletePearce tapintoteenminds.com

Area of a Trapezoid Formula

h

a

b

A = 2h

2ha b+

Page 35: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

@MathletePearce tapintoteenminds.com

Area of a Trapezoid Formula

h

a

b

A = 2h

2ha b+

Page 36: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

@MathletePearce tapintoteenminds.com

Area of a Trapezoid Formula

h

a

b

A = 2h

2ha b+

Page 37: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

@MathletePearce tapintoteenminds.com

Area of a Trapezoid Formula

h

a

b

A = 2hha b+

Page 38: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a

b

Page 39: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 40: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 41: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 42: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 43: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 44: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 45: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

h

a b

Page 46: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 47: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 48: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 49: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 50: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 51: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 52: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 53: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 54: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 55: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 56: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 57: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hha b

Area of a Trapezoid Formula+

Page 58: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 59: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

h

a

b

Page 60: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

h

a b

Page 61: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

h

a b

Page 62: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 63: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 64: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 65: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 66: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 67: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 68: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2hh a b

Area of a Trapezoid Formula+( )

Page 69: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h a b

Area of a Trapezoid Formula+( )

Page 70: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h a b

Area of a Trapezoid Formula

+( )

Page 71: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h a b

Area of a Trapezoid Formula

+( )

A = 2h

2ha b+ A = 2

hha b+

Page 72: Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

A =

@MathletePearce tapintoteenminds.com

2h a b

Area of a Trapezoid Formula

+( )

A = 2h

2ha b+ A = 2

hha b+


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