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# GRE Math Challenge #118- Coordinate Geometry

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GRE Math Challenge #118- Coordinate Geometry [#permalink]  15 May 2015, 11:22
Expert's post
00:00

Question Stats:

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

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 [ 10.08 KiB | Viewed 2367 times ]
[Reveal] Spoiler: OA

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

[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

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

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Re: GRE Math Challenge #118- Coordinate Geometry [#permalink]  24 Feb 2018, 17:12
C
Re: GRE Math Challenge #118- Coordinate Geometry   [#permalink] 24 Feb 2018, 17:12
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