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16 Feb 2021, 01:15
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A
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Difficulty:
95%
(hard)
Question Stats:
22% (01:40) correct
78%
(01:59)
wrong
based on 99
sessions
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Not Attempted Yet
What is the area of triangle EBC?
(1) The area of ΔAED is 16.
(2) The area of ΔDEC is 12.
Attachment:
T88956.png [ 3.78 KiB | Viewed 8179 times ]
16 Feb 2021, 07:04
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AB is parallel to BC as both are 90 degrees
Also Area of Triangle ADC = Area of triangle BDC as triangles lying on the same base and between 2 parallel lines have the same areas.
Therefore AED + DEC = DEC + BEC
or Area of ΔAED = Area of ΔBEC
Statement 1: Area of ΔAED is 16
From this area of ΔBEC is 16
Statement 1 is Sufficient. Answer options could be A or D
Statement 2: ΔDEC is 12
This statement does not help in getting the area of ΔBEC as we do not have the area of ΔBDC
Statement 2 alone is insufficient.
Option A
Arun Kumar
Also Area of Triangle ADC = Area of triangle BDC as triangles lying on the same base and between 2 parallel lines have the same areas.
Therefore AED + DEC = DEC + BEC
or Area of ΔAED = Area of ΔBEC
Statement 1: Area of ΔAED is 16
From this area of ΔBEC is 16
Statement 1 is Sufficient. Answer options could be A or D
Statement 2: ΔDEC is 12
This statement does not help in getting the area of ΔBEC as we do not have the area of ΔBDC
Statement 2 alone is insufficient.
Option A
Arun Kumar
16 Feb 2021, 12:58
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What is the area of triangle EBC?
As ΔBAD and ΔADC have 90 degree so, BA//CD. Now, area of ΔEBC = Area of ΔBDC- area of ΔDEC = Area of ΔADC- area of ΔDEC = area of ΔAED (note: Area of ΔBDC = Area of ΔADC, because they have common base and in between parallel lines)
Stat1: The area of ΔAED is 16. Sufficient.
Stat2: The area of ΔDEC is 12. Not Sufficient.
So, I think A.
As ΔBAD and ΔADC have 90 degree so, BA//CD. Now, area of ΔEBC = Area of ΔBDC- area of ΔDEC = Area of ΔADC- area of ΔDEC = area of ΔAED (note: Area of ΔBDC = Area of ΔADC, because they have common base and in between parallel lines)
Stat1: The area of ΔAED is 16. Sufficient.
Stat2: The area of ΔDEC is 12. Not Sufficient.
So, I think A.
