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The perimeter of a rectangular garden is 360 feet. What is t

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The perimeter of a rectangular garden is 360 feet. What is t [#permalink] New post 26 Jan 2014, 09:46
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

(1) The length of the garden is twice the width.
(2) The difference between the length and width of the garden is 60 feet.

Data Sufficiency
Question: 60
Category: Geometry; Algebra Perimeter; Simultaneous Equations
Page: 157
Difficulty: 600


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Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink] New post 26 Jan 2014, 09:47
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SOLUTION

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Answer: D.
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Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink] New post 26 Jan 2014, 10:37
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

(1) The length of the garden is twice the width.
(2) The difference between the length and width of the garden is 60 feet.



If Length = L and Breadth = B
Then 2(L + B) = 360
=> L+B = 180

Statement 1) L = 2B
Substituting in the above equation, 3B = 180. I can determine B and subsequently A. Hence Sufficient.

Statement 2) L-B = 60
Solving with the premise equation, we can determine the length. Hence Sufficient.

Hence Option D)
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Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink] New post 26 Jan 2014, 22:47
Perimeter=2(l+b)=360
l+b=180 (1)
From S1:l=2b=>Replacing b in (1),we can calculate length of rect.Sufficient

From S2:l-b=60.We get 2 equations which can be solved ot get length.
This is also sufficient.

Ans.D
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Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink] New post 27 Jan 2014, 06:15
Let l be the length and w be the width.
From the question stem, we derive the foll equation: 2l+2w=360

Going to the statements:
(1) from this statement, we can deduce that l=2w. by substitution, we can solve the equation for l and w above (statement 1 is sufficient)
(2) from this statement, we can deduce the foll equation, l-w=60. by substitution, we can solve the equation in the question stem. (statement 2 is sufficient)

Answer is therefore D
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Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink] New post 29 Jan 2014, 08:22
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Let the rectancle sides be X (the short one) and Y (the longer one).

After reading the information we can say that 2X+2Y = 360. Hence we already have one equation and we only need another one to solve the problem.

1) Y = 2X We have enough equations to solve the system and find the incognites.

2) Y-X = 60 We have enough equations to solve the system and find the incognites.

Hence answer is C.
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Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink] New post 01 Feb 2014, 08:37
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SOLUTION

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Answer: D.
_________________

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: The perimeter of a rectangular garden is 360 feet. What is t [#permalink] New post 01 Feb 2014, 11:01
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true! With my explanation i meant D! haha cheers Bunuel
Re: The perimeter of a rectangular garden is 360 feet. What is t   [#permalink] 01 Feb 2014, 11:01
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