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In the rectangular coordinate (OG16)

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boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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In the rectangular coordinate (OG16)

Post Thu May 19, 2016 3:48 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])


    In the rectangular coordinate system above, if point R (not shown) lies on the positive y-axis and the area of triangle ORP is 12, what is the y-coordinate of point R?

    A) 3
    B) 6
    C) 9
    D) 12
    E) 24

    OA: B

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    Post Thu May 19, 2016 4:53 pm
    Hi boomgoesthegmat,

    From the diagram, we know that the base of triangle ORP = 4. We also know that it's area = 12, so we can combine those two pieces of information to find the height of the triangle (and by extension, the Y co-ordinate of point R).

    Area = (1/2)(base)(height)

    12 = (1/2)(4)(height)
    12 = 2(height)
    6 = height

    Final Answer: B

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