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In a given figure, ABCD is a rectangle with AD = 4 units and AE = EB. EF is perpendicular to DB and is half of DF. If the area of the triangle DEF is 5 sq. units, then what is the area of ABCD?

(a)

18 sq. units

(b)

20 sq. units

(c)

24 sq. units

(d)

28 sq. units


Question ID - 50143 | SaraNextGen Answer

In a given figure, ABCD is a rectangle with AD = 4 units and AE = EB. EF is perpendicular to DB and is half of DF. If the area of the triangle DEF is 5 sq. units, then what is the area of ABCD?

(a)

18 sq. units

(b)

20 sq. units

(c)

24 sq. units

(d)

28 sq. units

1 Answer - 5876 Votes

3537

Answer Key : (c) -

Let EF =  units.

Then, DF =  units.

 

.

 

DE =

 

AE = .

 

AB  = 2 AE  =  6 units.

 

Area of ABCD = 6 sq. units.



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