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What is the area of the figure above determined by points A, B, C, and D?
A. 0.2
B. 0.4
C. 0.8
D. 1.2
E. 4
Attachment:
#GREpracticequestion What is the area of the figure above determined by.jpg [ 29.38 KiB | Viewed 3365 times ]
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CareerGeek
Joined: 20 Jul 2017
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GMAT 1: 690 Q51 V30
Posts: 1,285
Updated on: 27 May 2019, 04:57
Originally posted by CareerGeek on 27 May 2019, 03:18.
Last edited by CareerGeek on 27 May 2019, 04:57, edited 1 time in total.
Last edited by CareerGeek on 27 May 2019, 04:57, edited 1 time in total.
Bunuel
If we drop a perpendicular from point B to meet Side DC at E (as shown). It forms a trapezium ADEB and a triangle EBC
Length of parallel sides of trapezium are (1.6 - 0.8) = 0.8 and (1.6 - 1.2) = 0.4 and distance between them = 2.0 - 1.4 = 0.6
Area of trapezium ADEB = 1/2*0.6*(0.8 + 0.4) = 1/2*0.6)1.2 = 0.36
For right triangle EBC, height EB = 0.4 and base EC = 0.2
Area of triangle = 1/2*0.2*0.4 = 0.04
So, total area ABCD = 0.36 + 0.04 = 0.4
IMO Option B
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Bunuel
each scale unit is 0.2
so divide the region ABCD as 2 ∆ and 1 rectangle
we get 0.6*0.4+ 1/2* ( 0.4*0.6)+1/2*(0.4)*(0.2)
total= 0.4
IMO B
Archit3110
Major Poster
Joined: 18 Aug 2017
Last visit: 15 Sep 2026
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Status:You learn more from failure than from success.
Location: India
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GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,819
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