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Mathematics
Problem
In
Δ
A
B
C
\Delta ABC
Δ
A
B
C
, points D on
A
B
AB
A
B
and E on
A
C
AC
A
C
are such that
D
E
∥
B
C
DE \parallel BC
D
E
∥
B
C
. The area of
Δ
A
D
E
\Delta ADE
Δ
A
D
E
is
18
cm
2
18\,\text{cm}^2
18
cm
2
and the area of quadrilateral
B
D
E
C
BDEC
B
D
E
C
is
32
cm
2
32\,\text{cm}^2
32
cm
2
. If
A
B
=
12
cm
AB = 12\,\text{cm}
A
B
=
12
cm
, calculate the length
A
D
AD
A
D
.
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