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Is the perimeter of the equilateral triangle T greater than

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Is the perimeter of the equilateral triangle T greater than [#permalink] New post 22 Sep 2010, 08:45
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A
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D
E

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78% (02:02) correct 22% (01:09) wrong based on 64 sessions
Is the perimeter of the equilateral triangle T greater than the perimeter of the square S

The ratio of the area of T to area of S is root (3) : 1

The ratio of length of a side of T to a side of T is 2 : 1
[Reveal] Spoiler: OA

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Re: Geometry DS [#permalink] New post 22 Sep 2010, 09:02
Expert's post
rxs0005 wrote:
Is the perimeter of the equilateral triangle T greater than the perimeter of the square S

The ratio of the area of T to area of S is root (3) : 1

The ratio of length of a side of T to a side of T is 2 : 1


P_{equilateral}=3t and P_{square}=4s, where t and s are the sides of triangle and square respectively. Question: is P_{equilateral}>P_{square}. You can notice that if we knew the ratio of the side t to the side s then we would be able to answer the question.

(1) The ratio of the area of T to area of S is root (3) : 1 --> both the area of the equilateral triangle (area_{equilateral}=t^2\frac{\sqrt{3}}{4}) and the area of a square (area_{square}=s^2) can be expressed with their sides, so we could get the ratio of the sides from the ratio of the areas. Sufficient.

(2) The ratio of length of a side of T to a side of S is 2 : 1 --> directly gives us the ratio of the sides. Sufficient.

Answer: D.
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Re: Geometry DS [#permalink] New post 06 Oct 2010, 07:13
D it is :)
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Perimeter of triangle [#permalink] New post 13 May 2012, 04:24
Is the perimeter of equilateral triangle T greater than the perimeter of square S?

(1) The ratio of the area of T to the area of S is \sqrt{3} : 1.
(2) The ratio of the length of a side of T to a side of S is 2 : 1.


Any idea how the answer is D guys?
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Re: Perimeter of triangle [#permalink] New post 13 May 2012, 04:28
Expert's post
enigma123 wrote:
Is the perimeter of equilateral triangle T greater than the perimeter of square S?

(1) The ratio of the area of T to the area of S is \sqrt{3} : 1.
(2) The ratio of the length of a side of T to a side of S is 2 : 1.


Any idea how the answer is D guys?


Merging similar topics.
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


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Re: Perimeter of triangle   [#permalink] 13 May 2012, 04:28
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