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GRE Math Challenge #118- Coordinate Geometry

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GRE Prep Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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GRE Math Challenge #118- Coordinate Geometry [#permalink] New post 15 May 2015, 11:22
Expert's post
00:00

Question Stats:

88% (00:32) correct 11% (01:38) wrong based on 17 sessions
Image

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


[Reveal] Spoiler:
Attachment:
Quant5.jpg
Quant5.jpg [ 10.08 KiB | Viewed 2367 times ]
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #118- Coordinate Geometry [#permalink] New post 22 Feb 2018, 10:25
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Expert's post
sandy wrote:
Image

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


[Reveal] Spoiler:
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
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: GRE Math Challenge #118- Coordinate Geometry [#permalink] New post 24 Feb 2018, 17:12
C
Re: GRE Math Challenge #118- Coordinate Geometry   [#permalink] 24 Feb 2018, 17:12
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GRE Math Challenge #118- Coordinate Geometry

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