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In the rectangular coordinate system above, the area of tria

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In the rectangular coordinate system above, the area of tria  [#permalink]

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New post 07 Feb 2014, 05:53
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

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In the rectangular coordinate system above, the area of triangle RST is

(A) bc/2
(B) b(c-1)/2
(C) c(b-1)/2
(D) a(c-1)/2
(E) c(a-1)/2

Problem Solving
Question: 85
Category: Geometry Simple-coordinate geometry
Page: 72
Difficulty: 600


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Re: In the rectangular coordinate system above, the area of tria  [#permalink]

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New post 07 Feb 2014, 05:53
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In the rectangular coordinate system above, the area of triangle RST is

(A) bc/2
(B) b(c-1)/2
(C) c(b-1)/2
(D) a(c-1)/2
(E) c(a-1)/2

The area of a triangle is 1/2*(base)(height):

(base) = c - 1 (the difference between the x-coordinates of points T and R).

(height) = b (the "height", the y-coordinate, of point S).

Therefore, the area is 1/2*(base)(height) = 1/2*(c - 1)b.

Answer: B.
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Re: In the rectangular coordinate system above, the area of tria  [#permalink]

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New post 07 Feb 2014, 08:12
1
Area of triangle = 1/2 base*height
base = c-1
height = y co-ordinate of S = b
therefore area =\(((c-1)b)/2\)

hence OA should be = B
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Re: In the rectangular coordinate system above, the area of tria  [#permalink]

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New post 07 Feb 2014, 09:03
1
IMO - B

base = c-1
y = b
therefore area =((c-1)b)/2
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Re: In the rectangular coordinate system above, the area of tria  [#permalink]

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New post 07 Feb 2014, 13:14
Area of a triangle is given by: (Base * Height)/2

Base is measured by length on the x-axis, thus, c-1. Height is measured by the vertical axis y, so, coordinate b from point S.
Hence, b(c-1)/2, which is (B).
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Re: In the rectangular coordinate system above, the area of tria  [#permalink]

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New post 08 Feb 2014, 05:03
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Image
In the rectangular coordinate system above, the area of triangle RST is

(A) bc/2
(B) b(c-1)/2
(C) c(b-1)/2
(D) a(c-1)/2
(E) c(a-1)/2

The area of a triangle is 1/2*(base)(height):

(base) = c - 1 (the difference between the x-coordinates of points T and R).

(height) = b (the "height", the y-coordinate, of point S).

Therefore, the area is 1/2*(base)(height) = 1/2*(c - 1)b.

Answer: B.
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Re: In the rectangular coordinate system above, the area of tria  [#permalink]

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New post 21 Jun 2016, 01:04
1
Area of triangle = \(\frac{1}{2}\) * base * height
Base is (c-1) for given triangle
Height is b for given triangle
Area = \(\frac{1}{2}\) * b * (c-1)

Correct Answer - B
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Re: In the rectangular coordinate system above, the area of tria  [#permalink]

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New post 14 Oct 2019, 01:25
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Re: In the rectangular coordinate system above, the area of tria   [#permalink] 14 Oct 2019, 01:25
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