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In given figure
P
Q
R
S
is a parallelogram.
P
M
is the height from
P
to
S
R
and
P
N
is the height from
P
to
Q
R
. If
S
R
=
1
2
c
m
and
P
M
=
7
.
6
c
m
.
(i) Find the area of the parallelogram
P
Q
R
S
(ii) Find
P
N
, if
Q
R
=
8
c
m
.
A
(i)
9
1
.
2
c
m
2
(ii)
1
1
.
4
c
m
.
B
(i)
1
.
2
c
m
2
(ii)
1
1
.
4
c
m
.
C
(i)
9
1
.
2
c
m
2
(ii)
1
.
4
c
m
.
D
None of these
Medium
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Solution
Verified by Toppr
Correct option is A)
(
i
)
Given:
S
R
=
1
2
c
m
,
P
M
=
7
.
6
c
m

Area of parallelogram
=
S
R
×
P
M
=
1
2
×
7
.
6
=
9
1
.
2
c
m
2
(
i
i
)
Given:
Q
R
=
8
c
m
, Area of parallelogram
=
9
1
.
2
c
m
2
We know, Area of parallelogram
=
Q
R
×
P
N

9
1
.
2
=
8
×
P
N

P
N
=
8
9
1
.
2

P
N
=
1
1
.
4
c
m
Hence,
A
is the correct opton.
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You are watching: In given figure PQRS is a parallelogram. PM is the height from P to SR and PN is the height from P to QR . If SR = 12 cm and PM = 7.6 cm .(i) Find the area of the parallelogram PQRS (ii) Find PN , if . Info created by GBee English Center selection and synthesis along with other related topics.