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? |
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(a) |
18 sq. units |
(b) |
20 sq. units |
(c) |
24 sq. units |
(d) |
28 sq. units |

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

127 votes

Let EF = units.

Then, DF = units.

.

DE =

AE = .

AB = 2 AE = 6 units.

Area of ABCD = 6 sq. units.

127 votes

127