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
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 Top 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
|
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 |
(b) |
20 sq. units |
(c) |
24 sq. units |
(d) |
28 sq. units |
1 Answer
127 votes
Answer Key / Explanation : (c) -
Let EF = 
units.
Then, DF = 
units.
.
DE = 
AE = 
.
AB = 2 AE = 6 units.
Area of ABCD = 6
sq. units.
127 votes
Answer Link
127