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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, 04:53
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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, 04:53
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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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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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, 07:12
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, 08:03
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, 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).
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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, 04:03
2
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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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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, 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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New post 06 Oct 2018, 01:20
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Re: In the rectangular coordinate system above, the area of tria &nbs [#permalink] 06 Oct 2018, 01:20
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