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Q.

What is the area of the quadrilateral ABCD. Here, DB = 22 cm, FC = 3 cm, AE = 3 cm, and AE ⊥ DB, CF ⊥ DB?


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a

33 sq. cm

b

55 sq. cm

c

66 sq. cm

d

44 sq. cm 

answer is C.

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Detailed Solution

Given, DB = 22 cm, FC = 3 cm, AE = 3 cm, and AE ⊥ DB, CF ⊥ DB.The area of the quadrilateral ABCD=Area of triangles ABD + BCD 
=12(3×22) + 12(3×22)
=  66 sq. cm.
So the area of the given quadrilateral is 66 sq. cm.
Therefore, option 3 is correct.  
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