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Byju's Answer
Standard VIII
Mathematics
Area of Combined Shapes
In given regu...
Question
In given regular hexagon, if AD = 10 cm, AB = 5 cm and FB = 8.66 cm, find area of hexagon.
A
32.49
c
m
2
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B
64.95
c
m
2
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C
97.43
c
m
2
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D
129.9
c
m
2
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Solution
The correct option is
B
64.95
c
m
2
Given: In regular hexagon all sides are equal
AB=BC=CD=DE=EF=FA = 5 cm
FO = BO =
1
2
×
FB =
1
2
×
8.66 = 4.33 cm
Area of hexagon
= Area of trapezium ADEF
+ Area of trapezium ADCB
Area of hexagon
=
1
2
×
(AD+EF)
×
FO +
1
2
×
(AD+BC)
×
BO
=
1
2
×
(AD+EF)
×
FO +
1
2
×
(AD+EF)
×
FO
........(
∵
EF=BC and FO=BO)
= (AD+EF)
×
FO
= (AD+EF)
×
F
B
2
= (10+5)
×
8.66
2
= (15)
×
8.66
2
= 15
×
4.33 = 64.95
c
m
2
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Similar questions
Q.
In the given figure, ABCD is a rectangle with sides AB = 10 cm and AD = 5 cm. Find the area of ΔEFG.