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GRE Math Challenge #118- The area of triangular region OPQ

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sandy
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GRE Math Challenge #118- The area of triangular region OPQ [#permalink] New post   Updated on: 02 Jul 2020, 08:02
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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


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C

Originally posted by sandy on 15 May 2015, 11:22.
Last edited by Carcass on 02 Jul 2020, 08:02, edited 3 times in total.
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Re: GRE Math Challenge #118- Coordinate Geometry [#permalink] New post   22 Feb 2018, 10:25
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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


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

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Brent
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Re: GRE Math Challenge #118- Coordinate Geometry [#permalink] New post   24 Feb 2018, 17:12
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Re: GRE Math Challenge #118- The area of triangular region OPQ [#permalink] New post   09 Jul 2024, 14:41
Hello from the GRE Prep Club BumpBot!

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Re: GRE Math Challenge #118- The area of triangular region OPQ [#permalink]
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