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Standard VIII
Mathematics
Identifying Shapes and Areas of Different Regular Figures
Question
The base of a parallelogram is three times its height. If the area of the parallelogram is
75
sq cm, then its height is
5
c
m
5
√
2
c
m
3
√
2
c
m
15
c
m
A
3
√
2
c
m
B
15
c
m
C
5
c
m
D
5
√
2
c
m
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Solution
Verified by Toppr
Let the height of the parallelogram be
x
m.
Then, base
=
3
x
.
∴
Area
=
b
×
h
=
x
×
3
x
=
75
⇒
3
x
2
=
75
⇒
x
2
=
75
3
⇒
x
2
=
25
⇒
x
=
5
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