The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra...

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The formula for the area of a parallelogram is: A = bh, where b is the length of the base and h is the length of the height.

Transcript of The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra...

Page 1: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

The formula for the area of a parallelogram is:A = bh, where b is the length of the base and h

is the length of the height.

Page 2: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

The formula for the area of a parallelogram is:A = bh, where b is the length of the base and h

is the length of the height.

The formula for the area of a rectangle is:A = lw, where l is the length of the length and w is the length of the width of the rectangle.

Page 3: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

The formula for the area of a parallelogram is:A = bh, where b is the length of the base and h

is the length of the height.

The formula for the area of a rectangle is:A = lw, where l is the length of the length and w is the length of the width of the rectangle.

The formula for the area of a square is:A = s2, where s is the length of a side of the

square.

Page 4: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Since squares and rectangles are also parallelograms, the formula for the area of a

parallegram also works for squares and rectangles.

Page 5: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Since squares and rectangles are also parallelograms, the formula for the area of a

parallegram also works for squares and rectangles.

For a square, one of the sides can be thought

of as the base and another side can be thought of as the height.

Page 6: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Since squares and rectangles are also parallelograms, the formula for the area of a

parallegram also works for squares and rectangles.

For a square, one of the sides can be thought

of as the base and another side can be thought of as the height.

For a rectangle, the length can be thought of as the base and the width can be thought of as

the height or vice versa.

Page 7: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 8: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

b

b

b

Page 9: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

b

b

b

h

hh

Page 10: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

b

b

b

h

hh

The red segments are diagonals.

Page 11: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

b

b

b

h

hh

The red segments are diagonals.

The formula for the area of a triangle is:

A = bh12

Page 12: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 13: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 14: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 15: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 16: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 17: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

b b

b

b

Page 18: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

b b

b

b

h

Page 19: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

b b

b

b

h h

Page 20: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

b b

b

b

h h

h

Page 21: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

b b

b

b

h h

h

h

Page 22: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

b b

b

b

h h

h

hThe formula for the area of a

triangle is: A = bh12

Page 23: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base.

Page 24: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base.

b

h

Page 25: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base.

b

h

Page 26: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base.

bh

b

h

Page 27: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base.

bh

b

h

Page 28: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base.

bh

b

h

b

h

Page 29: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

Page 30: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

Page 31: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

Page 32: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

Page 33: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

0

1

2

3

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5

6

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8

9

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118°

b = 9.3 cm

Page 34: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

0

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151°

b = 9.3 cmh = 6.0 cm

Page 35: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

01

23

45

67

89

1011

1213

1415

0

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2

3

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5

162°

b = 9.3 cmh = 6.0 cm b = 5.9 cm

Page 36: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

0

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74°

b = 9.3 cmh = 6.0 cm b = 5.9 cm

h = 9.2 cm

Page 37: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

0

1

2

3

4

5

6

7

8

9

10

11

12

13

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0

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3

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97°

b = 9.3 cmh = 6.0 cm b = 5.9 cm

h = 9.2 cm

b = 10.0 cm

Page 38: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

01

23

45

b = 9.3 cmh = 6.0 cm b = 5.9 cm

h = 9.2 cm

b = 10.0 cmh = 5.5 cm

Page 39: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

b = 9.3 cmh = 6.0 cm b = 5.9 cm

h = 9.2 cm

b = 10.0 cmh = 5.5 cm

A = 27.9 cm2

Page 40: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

b = 9.3 cmh = 6.0 cm b = 5.9 cm

h = 9.2 cm

b = 10.0 cmh = 5.5 cm

A = 27.9 cm2A = 27.14 cm2

Page 41: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

b = 9.3 cmh = 6.0 cm b = 5.9 cm

h = 9.2 cm

b = 10.0 cmh = 5.5 cm

A = 27.9 cm2A = 27.14 cm2

A = 27.5 cm2

Page 42: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 43: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 44: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 45: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 46: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 47: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 48: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 49: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a
Page 50: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

11 cm11 cm

8 cm

10 c

m

Page 51: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

11 cm11 cm

8 cm

10 c

m

Perimeter = 11 cm + 11 cm + 8 cm = 30 cm

Page 52: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

11 cm11 cm

8 cm

10 c

m

Perimeter = 11 cm + 11 cm + 8 cm = 30 cmArea = 0.5 • 8 cm • 10 cm = 40 cm2

Page 53: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

10 cm7 cm

14.8 cm

6 cm

Page 54: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

10 cm7 cm

14.8 cm

6 cm

Perimeter = 10 cm + 14.8 cm + 7 cm = 31.8 cm

Page 55: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

10 cm7 cm

14.8 cm

6 cm

Perimeter = 10 cm + 14.8 cm + 7 cm = 31.8 cmArea = 0.5 • 10 cm • 6 cm = 30 cm2

Page 56: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

5 cm

12 cm

13 cm

Page 57: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

5 cm

12 cm

13 cm

Perimeter = 5 cm + 12 cm + 13 cm = 30 cm

Page 58: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

5 cm

12 cm

13 cm

Perimeter = 5 cm + 12 cm + 13 cm = 30 cmArea = 0.5 • 5 cm • 12 cm = 30 cm2

Page 59: The formula for the area of a parallelogram is: A = …tcanright.macmate.me/Algebra Channel/Part_9pa/Part_9pa...Area = 0.5 • 5 cm • 12 cm = 30 cm2 The formula for the area of a

The formula for the area of a triangle is:

A = bh12

Any of the three sides of a triangle may be used as the base. There is a different

height for each base.

Another word sometimes used for height is altitude.