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Byju's Answer
Standard VIII
Mathematics
Area of Quadrilateral
Find the area...
Question
Find the area of pentagon ABCDE, given that EB = 10 cm, DC = 5 cm, AF = 3 cm and DG = 4 cm.
A
15
c
m
2
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B
30
c
m
2
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C
45
c
m
2
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D
60
c
m
2
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Solution
The correct option is
C
45
c
m
2
Given,
EB = 10 cm,
DC = 5 cm
AF = 3 cm and
DG = 4 cm.
Area of pentagon ABCDE
= Area of trapezium BCDE + Area of
△
AEB
Area of trapezium BCDE
=
1
2
×
(
S
u
m
o
f
p
a
r
a
l
l
e
l
s
i
d
e
s
)
×
h
e
i
g
h
t
=
1
2
×
(
C
D
+
B
E
)
×
D
G
=
1
2
×
(
5
+
10
)
×
4
=
1
2
×
(
15
)
×
4
= 15
×
2
= 30
c
m
2
Area of
△
AEB
=
1
2
×
b
a
s
e
×
h
e
i
g
h
t
=
1
2
×
B
E
×
A
F
=
1
2
×
10
×
3
=
15
c
m
2
Area of pentagon ABCDE
= Area of trapezium BCDE + Area of
△
AEB
= 30
c
m
2
+ 15
c
m
2
= 45
c
m
2
Suggest Corrections
4
Similar questions
Q.
In given pentagon area of trapezium BCDE is 2 times the area of
△
ABC. If AF = 3 cm, FG = 4 cm, and ED = 5 cm, then find area of pentagon.
Q.
Find the area of pentagon ABCDE, given that EB = 10 cm, DC = 5 cm, AF = 3 cm and DG = 4 cm.
Q.
Find the area of pentagon if AD = 5 cm, BC = 7 cm, AG = 5 cm and EF = 4 cm.
Q.
Find the area of pentagon
A
B
C
D
E
in which
B
L
⊥
A
C
,
C
M
⊥
A
D
and
E
N
⊥
A
D
such that
A
C
=
10
c
m
,
A
D
=
12
c
m
,
B
L
=
3
c
m
,
C
M
=
7
c
m
and
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.
Q.
Find the area of rhombus ABCD, if AC = 10 cm and BD = 6 cm.
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