find area of parallelogram
. Correct answer will be marked as brainliest
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Step-by-step explanation:
Let
|
A
B
C
|
denote area of
Δ
A
B
C
let
|
A
B
C
D
|
=
10
x
,
⇒
|
A
B
C
|
=
|
A
D
C
|
=
|
A
B
D
|
=
|
C
D
B
|
10
x
2
=
5
x
given
D
Q
:
Q
C
=
1
:
4
,
⇒
|
A
D
Q
|
:
|
A
Q
C
|
=
|
B
D
Q
|
:
|
B
Q
C
|
=
1
:
4
,
⇒
|
A
D
Q
|
=
x
,
|
A
Q
C
|
=
4
x
,
and
|
B
D
Q
|
=
x
,
|
B
Q
C
|
=
4
x
given
A
P
:
P
D
=
1
:
4
,
⇒
|
A
Q
P
|
:
|
P
Q
D
|
=
|
A
B
P
|
:
|
P
B
D
|
=
1
:
4
,
⇒
|
A
B
P
|
=
x
,
|
P
B
D
|
=
4
x
and
|
A
Q
P
|
=
1
5
x
,
|
P
Q
D
|
=
4
5
x
|
P
D
Q
B
|
=
|
P
B
D
|
+
|
B
D
Q
|
=
4
x
+
x
=
5
x
⇒
|
P
Q
B
|
=
|
P
D
Q
B
|
−
|
P
D
Q
|
=
5
x
−
4
5
x
=
21
5
x
⇒
D
R
:
R
B
=
|
P
D
Q
|
:
|
P
Q
B
|
=
4
5
x
:
21
5
x
=
4
:
21
P
R
:
R
Q
=
|
B
P
D
|
:
|
B
D
Q
|
=
4
x
:
x
=
4
:
1
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