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KELILING �BANGUN DATAR

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Keliling

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Keliling Persegi Panjang

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Keliling Persegi Panjang

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Keliling Segitiga

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Keliling Segitiga

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Keliling Persegi

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Keliling Persegi

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Keliling Bangun Gabungan

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Keliling Bangun Gabungan

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Keliling Bangun Gabungan

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Keliling Bangun Gabungan

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Keliling Bangun Datar

7cm

4cm

10cm

10cm

12cm

8cm

5cm

7cm

11cm

13cm

5cm

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Keliling = 10 + 5 + 10 + 5

10

+

5

10

+

5

+

5cm

10 cm

Keliling = 2 x (10 + 5)

Keliling = 2 x 15

Keliling = 30

Jadi Kelilingnya 30 cm

Keliling Persegipanjang

28 of 52

Keliling = 4 + 8+ 4 + 8

4

+

8

4

+

8

+

4cm

8cm

Keliling = 2 x (4 + 8)

Keliling = 2 x 12

Keliling = 24

Jadi Kelilingnya 24 cm

Keliling Persegipanjang

29 of 52

Keliling = 12 + 7 + 12 + 7

12

+

7

12

+

7

+

7cm

12 cm

Keliling = 2 x (12 + 7)

Keliling = 2 x 19

Keliling = 38

Jadi Kelilingnya 38 cm

Keliling Persegipanjang

30 of 52

Keliling = 8+ 15 + 8+ 15

8

+

15

8

+

15

+

8cm

15 cm

Keliling = 2 x (8 + 15)

Keliling = 2 x 23

Keliling = 46

Jadi Kelilingnya 46 cm

Keliling Persegipanjang

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p

+

l

p

+

l

+

l

p

Keliling = 2 x ( p + l )

Keliling = 2 p + 2 l

Keliling Persegipanjang= 2p + 2l atau 2 x(p+l )

Keliling Persegipanjang

32 of 52

l

8

8 + l = ½ Keliling

8 + l = ½ x 26

8 + l = 13

l = 5

D

C

B

A

Diketahui: Keliling ABCD 26, hitunglah panjang BC

Penyelesaian:

33 of 52

3

p

p + 3 = ½ Keliling

p + 3 = ½ x 20

p + 3 = 10

p = 7

N

M

L

K

Diketahui: Keliling KLMN 20, hitunglah panjang KL

Penyelesaian:

34 of 52

Keliling = 5 + 5 + 5+ 5

5

+

5

5

+

5

+

5 cm

Keliling = 4 x 5

Keliling = 20

Jadi Kelilingnya 20cm

Keliling Persegi

35 of 52

Keliling = 9 + 9 + 9+ 9

9

+

9

9

+

9

+

9 cm

Keliling = 4 x 9

Keliling = 36

Jadi Kelilingnya 36cm

Keliling Persegi

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s + s + s + s = Keliling

s

Jadi panjang tiap sisi 6cm

Jika keliling persegi = 24 cm, berapa panjang tiap-tiap sisinya?

Penyelesaian:

Misal panjang tiap sisi = s

s + s + s + s = 24

4 x s = 24

s = 24 : 4

s = 6

37 of 52

9 cm

6 cm

8 cm

Keliling Segitiga = 9 + 6 + 8

9

6

8

+

+

Keliling Segitiga = 23

Jadi keliling ABC 23 cm

B

A

C

38 of 52

10 cm

6 cm

8 cm

8

10

6

+

+

Keliling Segitiga = 8 + 10 + 6

Keliling Segitiga = 24

Jadi keliling KLM 24 cm

M

K

L

39 of 52

S

R

T

9 cm

12 cm

12 cm

12

9

12

+

+

Keliling Segitiga = 12 + 9 + 12

Keliling Segitiga = 2 x 12 + 9

Jadi keliling RST 33 cm

Keliling Segitiga = 24 + 9

Keliling Segitiga = 33

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S

R

T

10 cm

10 cm

10 cm

10

10

10

+

+

Keliling Segitiga = 10 + 10 + 10

Keliling Segitiga = 3 x 10

Jadi keliling RST 30 cm

Keliling Segitiga = 30

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S

R

T

b

a

c

a

b

c

+

+

Keliling Segitiga RST = a + b + c

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B

A

C

AB = BC

Segitiga ABC

SAMA KAKI

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K

M

L

KL = LM

Segitiga KLM

SAMA KAKI

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B

A

C

45 of 52

B

A

C

B

A

B

C

A

C

AB=AC=BC

Segitiga ABC

SAMA SISI

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Contoh Soal:

Hitunglah keliling segitiga di bawah ini!

B

A

C

15 cm

Perhatikan tanda berkedip!

ABC Sama sisi!

Keliling = 15 + 15 + 15

Keliling = 3 x 15

Keliling = 45

Jadi Keliling ABC 45 cm

47 of 52

Contoh Soal:

Hitunglah keliling segitiga di bawah ini!

L

K

M

9 cm

Perhatikan tanda berkedip!

LM=MK, Jadi sama kaki.

Keliling = 9 + 20 + 20

Keliling = 9 + 2 x 20

Keliling = 49

Jadi Keliling KLM 49 cm

20 cm

=

=

Keliling = 9 + 40

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Contoh Soal:

Jika keliling ABC = 18, berapa panjang AB

B

A

C

t

Perhatikan tanda berkedip!

AB=BC=CA=t ABC Sama sisi!

t + t + t = 18

Jadi AB = 6

t = 18 : 3

t = 6

AB + BC + CA = Keliling

3 X t = 18

49 of 52

Contoh Soal:

Jika keliling KLM = 29, berapa panjang KM?

L

K

M

9

Perhatikan tanda berkedip!

LM=MK=a, Jadi sama kaki.

LK + KM + ML = Keliling

Jadi KM = 10

a

=

=

9 + a + a = 29

9 + 2a = 29

2a = 20

a = 10

50 of 52

6 cm

9 cm

7 cm

6 cm

?

?

( 9 + 6 ) cm

6 cm

7 cm

9 cm

6 cm

( 7 + 6 ) cm

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Keliling = 6 +7 + 9 + 6 + ( 9+6 ) +( 7+6 )

( 9 + 6 ) cm

6 cm

7 cm

9 cm

6 cm

( 7 + 6 ) cm

Keliling = 56

Jadi Keliling bangun tersebut 56 cm

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=

=

7cm

20cm

3cm

5cm

8cm

Keliling = 20 + 7 + 5 + 8 + 8 + 3 + 7

8cm

7cm

20

7

5

8

8

3

7

+

+

+

+

+

+

Keliling = 58

Jadi keliling bangun tersebut 58 cm