Mathematics

Mathematics

Problem

In

\triangle ABC

,

D

and

E

are the midpoints of

AB

and

AC

. Lines through

D

and

E

drawn parallel to

AC

and

AB

respectively intersect at

F

, forming quadrilateral

ADEF

. If the area of

\triangle ABC

is

100\,\text{cm}^2

, the area of quadrilateral

ADEF

is a)

25\,\text{cm}^2

b)

75\,\text{cm}^2

c)

50\,\text{cm}^2

d)

33\dfrac{1}{3}\,\text{cm}^2

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