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In , point is on and point is on such that . If and the area of is , the area of…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, point
D
D
D
is on
A
B
AB
A
B
and point
E
E
E
is on
A
C
AC
A
C
such that
D
E
∥
B
C
DE \parallel BC
D
E
∥
B
C
. If
A
D
:
D
B
=
2
:
3
AD:DB = 2:3
A
D
:
D
B
=
2
:
3
and the area of
△
A
D
E
\triangle ADE
△
A
D
E
is
40
cm
2
40\,\text{cm}^2
40
cm
2
, the area of quadrilateral
D
E
C
B
DECB
D
E
C
B
(in
cm
2
\text{cm}^2
cm
2
) is (a)
250
cm
2
250\,\text{cm}^2
250
cm
2
(b)
150
cm
2
150\,\text{cm}^2
150
cm
2
(c)
210
cm
2
210\,\text{cm}^2
210
cm
2
(d)
100
cm
2
100\,\text{cm}^2
100
cm
2
Related theory
Basic Proportionality Theorem
Similarity
Areas of Similar Triangles
Triangles
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