1.

1). 842). 163). 254). 75

Answer»

Solution :

Given: $AD : DB = 2 : 3$ and 

Area of $ABC = 100$ sq.cm.

From the given information, we can easily find out that triangle ADE and triangle ABC are similar. 

So, by EQUATING we get

Area of ADE / Area of ABC $= AD^2 / AB^2$

Area of ADE / Area of ABC $= AD^2 / AB ^2$

Area of ADE / 100( given) $= 4/ 25$( given)

Area of ADE $= (4×100)/25$

Area of ADE $= 400/25 =16 $sq.cm.

Now,

Area of QUADRILATERAL BDEC

= Area of triangle ABC - Area of triangle ADE

$= 100 - 16$

$= 84$ sq.cm.

The correct OPTION is 1). 84

 

 



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