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GRE Math Challenge #118- The area of triangular region OPQ
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Updated on: 02 Jul 2020, 08:02
Updated on: 02 Jul 2020, 08:02
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Question Stats:
86% (00:38) correct
13% (01:13) wrong based on 122 sessions
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Quantity A |
Quantity B |
The area of triangular region OPQ |
The area of triangular region ORS |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Show: ::
Attachment:
Quant5.jpg [ 10.08 KiB | Viewed 7821 times ]
Retired Moderator
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Re: GRE Math Challenge #118- Coordinate Geometry
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22 Feb 2018, 10:25
22 Feb 2018, 10:25
1
sandy wrote:
Quantity A: The area of triangular region OPQ
Quantity B: The area of triangular region ORS
• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
Show: ::
Attachment:
Quant5.jpg
For each triangle, let's let the part on the x-axis be the base.
∆OPQ has a base of length 2 and a height of 2
Area = (base)(height)/2 = (2)(2)/(2) = 4/2 = 2
∆ORS has a base of length 4 and a height of 1
Area = (base)(height)/2 = (4)(1)/(2) = 4/2 = 2
So, we have:
Quantity A: 2
Quantity B: 2
Answer: C
Cheers,
Brent
