Menjelaskan tentang bangun trapesium

1. By :
❖ Afifa Khusnul Khotimah (01)
❖ Aninda Regita Putri Darna (02)
❖ Euodia Putri Prastika (08)
❖ Safira Alhana Zubairy (13)

3. Goal of Study this :
After learn this lesson, student can :
➢ Student understand about
charactheristic of Trapezoid
➢ Student can different type of angel
(obtuse, acute, right, etc)
➢ Student can measure the angle
➢ Student can measure area of trapezoid
➢ Know the thing in our live that have
shape trapezoid.

4. ❖ Have 4 sides.
❖ Have 4 angels and 4 points of angle.
❖ Have parallel a pair of side.
❖ The number of angle that near
between parallel side is 180°.

6. Side
Side
Side
Side
A B
CD

7. HAVE 4 ANGELS AND 4 POINTS OF ANGLE
Angle
Point of Angle
G H
IJ

8. Have parallel a pair of side
2 Parallel Side
V W
X Y

9. The number of angle that near
between parallel side is 180°
110°
70°
HG
FE The aim is number of
angle that near between
parallel side, that is :
E + G = F + H
= 180°
70°
110°
E + G
= 110° + 70°
= 180°
Example :
F + H
= 110° + 70°
= 180°

11. A B
CD
➢ Side : CD parallel AB
AD ≠ AB ≠ BC ≠ CD
➢ Angle : D = A = 90°
➢ A right trapezoid have two
right angles, they are A
and D

12. L M
NO
➢ An isosceles trapezoid have the same
diagonal ( LN = MO )
➢ Side : NO parallel LM,
OL = MN and LM ≠ ON
➢ Angle : O = N
L = M

13. L M
NO
➢ Side : ON parallel LM
OL ≠ LM ≠ MN ≠ NO
➢ Angle : L ≠ M ≠
N ≠ O

14. 150 cm
80 cm
125 cm
How large the trapezoid
behind ?
Area : (The number of parallel side) x high x ½
Area : (125 + 150) x 80 x ½
= 275 x 40
= 11000 cm = 110 m
100 cm
R S
TU

15. 150 cm
80 cm
125 cm
How trapezoid around
behind ?
Trapezoid around : s + s + s + s
Trapozoid around : 125 + 100 + 150 + 100
= 475 cm
100 cm
P Q
RS

16. THE THINGS IN OUR LIVE THAT HAVE
SHAPE TRAPEZOID
Traditional house
roof
Basket
Furniture table

19. 1
Hitunglah luas Trapesium di bawah ini !
A B
CD

20. Penyelesaian
Luas = (Jumlah sisi sejajar) x t x ½
Luas = (10 cm + 14 cm) x 8 cm x ½
= 24 cm x 4 cm
= 96 cm²

21. Find the angle of a and d !
50°
110°
a
c d
b
2

22. Penyelesaian :
Angel a = 180° - 50°
= 130°
Angel d = 180° - 110°
= 70°

23. Berapakah besar sudut W, X dan Z pada
trapesium sama kaki, jika besar sudut Y
= 60 ?
W
ZY
X
3

24. Penyelesaian :
Y = 60°
Z = 60° (karena Y = Z)
W = 180° - 60°
= 20°
X = 180° - 60°
= 20°

25. Calculate the number of trapezoid around
follow!
17 cm
27 cm
18 cm
23 cm
4
K L
MN

26. Penyelesaian :
Trapezoid Around : s + s + s + s
Trapezoid Around :
17 cm + 18 cm + 23 cm + 27 cm
= 85 cm

27. Perhatikan gambar berikut.
KLMN adalah sebuah trapesium dengan MNOP
adalah suatu Persegi, yang panjang sisinya
(OP) adalah 8 cm. Jika KO = 6 cm, PL = 2 cm,
KN =10 cm dan LM = 7 cm, tentukan :
a. Panjang MN
b. Keliling Trapesium
c. Luas Trapesium
N M
K LO P6 cm 8 cm
2cm
5

28. Penyelesaian :
a. Panjang OP = MN = 8 cm
b. Alas = KL = KO+OP+PL
= 6 cm + 8 cm + 2 cm
= 16 cm
Keliling trapesium adalah
K = KL + LM + MN + KN
= 16 cm + 7 cm + 8 cm + 10 cm
= 41 cm
c. Luas trapesium KLMN adalah
L = ½ x (NM + KL) x NO
= ½ × (8+16) x 8
= 96 cm2

29. Find the number of parallel side, if the
area of Trapezium under is 570!
6
3x + 3 cm
20 cm
4x – 2 cm
V W
XY

30. Penyelesaian :
(3x + 3 + 4x -2) . ½ . 20 = 570
(7x + 1) . 10 = 570
70x + 10 = 570
70x = 570 -10
70x = 560
X = 8
Area : (The number of parallel side) x high x ½
The number of parallel side : 3x + 3 + 4x -2
= 3 . 8 + 3 + 4 . 8 – 2
= 24 +3 + 32 -2
= 59 – 2
= 57 cm

31. Berapakah keliling trapesium di
bawah?
12 cm
9 cm
7
A B
CD

32. Penyelesaian
Rumus keliling trapesium :
Jawab :
Sisi miring = √9² + 12²
= √81 + 144
= √225 = 15 cm
Keliling = s + s + s + s
= 9 + 12 + 12 + 15 + 12
= 60 cm²
S + S + S + S

33. Calculate the angel a, b, c, and d, if :
8
c d
ba
a = 15x -5
b = 13x -7
c = 5x + 5
d = 7x + 7

34. Penyelesaian
15x – 5 + 5x + 5 = 180°
20x = 180°
X = 9
a = 15x -5 c = 5x + 5
= 15 . 9 – 5 = 5 . 9 + 5
= 135 – 5 = 130° = 45 + 5 = 50°
13y – 7 + 7y + 7 = 180°
20y = 180°
y = 9
b = 13y – 7 d = 7y + 7
= 13 . 9 – 7 = 7 . 9 + 7
= 117 – 7 = 110° = 63 + 7 = 70°