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# In the rectangular coordinate system above, the area of tria

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Math Expert
Joined: 02 Sep 2009
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Kudos [?]: 139592 [0], given: 12794

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

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07 Feb 2014, 04:53
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

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Untitled.png [ 17.05 KiB | Viewed 12803 times ]
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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Kudos [?]: 139592 [0], given: 12794

Math Expert
Joined: 02 Sep 2009
Posts: 43334

Kudos [?]: 139592 [4], given: 12794

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

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07 Feb 2014, 04:53
4
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Expert's post
4
This post was
BOOKMARKED

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.

_________________

Kudos [?]: 139592 [4], given: 12794

Director
Joined: 14 Dec 2012
Posts: 832

Kudos [?]: 1674 [1], given: 197

Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Re: In the rectangular coordinate system above, the area of tria [#permalink]

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07 Feb 2014, 07:12
1
KUDOS
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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Kudos [?]: 1674 [1], given: 197

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

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07 Feb 2014, 08:03
1
KUDOS
IMO - B

base = c-1
y = b
therefore area =((c-1)b)/2
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Kudos [?]: 116 [1], given: 10

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

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07 Feb 2014, 12:14
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).

Kudos [?]: 76 [0], given: 11

Math Expert
Joined: 02 Sep 2009
Posts: 43334

Kudos [?]: 139592 [2], given: 12794

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

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08 Feb 2014, 04:03
2
KUDOS
Expert's post

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.

_________________

Kudos [?]: 139592 [2], given: 12794

Director
Joined: 24 Nov 2015
Posts: 584

Kudos [?]: 44 [0], given: 231

Location: United States (LA)
Re: In the rectangular coordinate system above, the area of tria [#permalink]

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21 Jun 2016, 00:04
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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15 Aug 2017, 20:13
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Re: In the rectangular coordinate system above, the area of tria   [#permalink] 15 Aug 2017, 20:13
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# In the rectangular coordinate system above, the area of tria

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