SSC CGL Model Paper 3

Question : 70 of 100

Marks: +1, -0

Find the area of quadrilateral (in unit

^2

) AFED =? If FE ∥ AC & DE ∥ AB. If area of ΔBFE = 16 unit

^2

and Area of ΔDEC = 9 units

^2

Solution:

Clearly, ΔBFE ~ ΔEDC
∴

({BE}/{EC})^2=16/9⇒{BE}/{EC}=4/3

& Also, ΔBFE ~ ΔBAC
So,

{BE}/{BC}=4/7⇒{\Ar\Δ\ABC}/{\Ar\Δ\FBE}=49/16

So, Ar of quad AFED = 49 - 16 - 9 = 24 unit

^2

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