December 14, 2018 December 14, 2018 09:00 AM PST 10:00 AM PST 10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners. December 14, 2018 December 14, 2018 10:00 PM PST 11:00 PM PST Carolyn and Brett  nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51214

If a square region has area n, what is the length of the dia
[#permalink]
Show Tags
05 Feb 2014, 01:19
Question Stats:
82% (00:37) correct 18% (00:49) wrong based on 821 sessions
HideShow timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND EditionIf a square region has area n, what is the length of the diagonal of the square in terms of n ? (A) \(\sqrt{2n}\) (B) \(\sqrt{n}\) (C) \(2\sqrt{n}\) (D) 2n (E) 2n^2 Problem Solving Question: 76 Category: Geometry Area; Pythagorean theorem Page: 71 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
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? Extrahard Quant Tests with Brilliant Analytics




Math Expert
Joined: 02 Sep 2009
Posts: 51214

Re: If a square region has area n, what is the length of the dia
[#permalink]
Show Tags
05 Feb 2014, 01:20




Intern
Joined: 26 Feb 2012
Posts: 14
Concentration: Strategy, International Business

Re: If a square region has area n, what is the length of the dia
[#permalink]
Show Tags
05 Feb 2014, 04:03
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf a square region has area n, what is the length of the diagonal of the square in terms of n ? (A) \(\sqrt{2n}\) (B) \(\sqrt{n}\) (C) \(2\sqrt{n}\) (D) 2n (E) 2n^2 Area of square = n, Hence each of the sides of the square are \(\sqrt{n}\) Now the sides of any rectangular isosceles triangle have a ratio of 1:1:\(\sqrt{2}\). Applying this ratio to a rectangular isosceles triangle whose equal sides are \(\sqrt{n}\), the ratio of the sides for this triangle becomes: \(\sqrt{n}:\sqrt{n}:\sqrt{2}\sqrt{n}\) Which is equivalent to \(\sqrt{n} : \sqrt{n} : \sqrt{2n}\) Answer: A




Manager
Joined: 20 Dec 2013
Posts: 230
Location: India

Re: If a square region has area n, what is the length of the dia
[#permalink]
Show Tags
05 Feb 2014, 07:19
Ans A
Area of square=n=(side)^2 \sqrt{n}=side (Diagonal)^2= (\sqrt{n})^2 + (\sqrt{n})^2 Diagonal=\sqrt{n+n} =\sqrt{2n}



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13081
Location: United States (CA)

Re: If a square region has area n, what is the length of the dia
[#permalink]
Show Tags
21 May 2015, 19:30
Hi All, This question can be solved by TESTing VALUES. We're told that a square has an AREA of N. We're asked for the length of the diagonal of that square..... IF... Side of the square = 3.... the area of the square = N = (3)(3) = 9.... the diagonal of the square = 3√2 Answer A: √(2N) = √(18) = 3√2 This IS a match. Answer B: √N = √9 = 3 NOT a match. Answer C: 2√N = 2√9 = 6 NOT a match. Answer D: 2N = 18 NOT a match. Answer E: 2N^2 = 162 NOT a match. Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****



Manager
Joined: 25 Mar 2013
Posts: 240
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5

Re: If a square region has area n, what is the length of the dia
[#permalink]
Show Tags
20 Jan 2017, 10:33
Area = s^2 Area represented as n n = s^2 each side s = \(\sqrt{n}\) Diagonal of a square =\(s\sqrt{2}\) Diagonal = \(\sqrt{n}\)\(\sqrt{2}\) \(\sqrt{2n}\) A
_________________
I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you



VP
Joined: 09 Mar 2016
Posts: 1218

Re: If a square region has area n, what is the length of the dia
[#permalink]
Show Tags
21 Feb 2018, 00:35
Bunuel wrote: SOLUTION
If a square region has area n, what is the length of the diagonal of the square in terms of n ?
(A) \(\sqrt{2n}\) (B) \(\sqrt{n}\) (C) \(2\sqrt{n}\) (D) 2n (E) 2n^2
The area of a square is \(\frac{diagonal^2}{2}\).
\(\frac{diagonal^2}{2}=n\) > \(diagonal=\sqrt{2n}\).
Answer: A. Hi Bunuel, can you please explain one thing. Square has all sides of equal lenght. And if Diagonal divides square into two triangles. How can such triangle be a RIGHT trangle ? It has two sides equal and two angles equal which is an Isosceles Triangle. Right? Have an awesome day



Math Expert
Joined: 02 Sep 2009
Posts: 51214

Re: If a square region has area n, what is the length of the dia
[#permalink]
Show Tags
21 Feb 2018, 00:45
dave13 wrote: Bunuel wrote: SOLUTION
If a square region has area n, what is the length of the diagonal of the square in terms of n ?
(A) \(\sqrt{2n}\) (B) \(\sqrt{n}\) (C) \(2\sqrt{n}\) (D) 2n (E) 2n^2
The area of a square is \(\frac{diagonal^2}{2}\).
\(\frac{diagonal^2}{2}=n\) > \(diagonal=\sqrt{2n}\).
Answer: A. Hi Bunuel, can you please explain one thing. Square has all sides of equal lenght. And if Diagonal divides square into two triangles. How can such triangle be a RIGHT trangle ? It has two sides equal and two angles equal which is an Isosceles Triangle. Right? Have an awesome day Don't we have a right angle there? We'll get two isosceles right triangles. You could draw a square and divide it into two triangles with a diagonal, should be easy to check.
_________________
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? Extrahard Quant Tests with Brilliant Analytics



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13081
Location: United States (CA)

Re: If a square region has area n, what is the length of the dia
[#permalink]
Show Tags
21 Feb 2018, 19:43
dave13 wrote: Bunuel wrote: SOLUTION
If a square region has area n, what is the length of the diagonal of the square in terms of n ?
(A) \(\sqrt{2n}\) (B) \(\sqrt{n}\) (C) \(2\sqrt{n}\) (D) 2n (E) 2n^2
The area of a square is \(\frac{diagonal^2}{2}\).
\(\frac{diagonal^2}{2}=n\) > \(diagonal=\sqrt{2n}\).
Answer: A. Hi Bunuel, can you please explain one thing. Square has all sides of equal lenght. And if Diagonal divides square into two triangles. How can such triangle be a RIGHT trangle ? It has two sides equal and two angles equal which is an Isosceles Triangle. Right? Have an awesome day Hi dave13, When you cut a square in half (from corner to opposite corner), you always end up with two 45/45/90 right triangles (and yes, they are Isosceles triangles). With tougher Geometry questions on the GMAT, you should look for common shapes (such as right triangles) inside of larger (or more complex) shapes. Sometimes the 'key' to solving those types of prompts is to redraw a picture by 'breaking' it into pieces and then using the appropriate Geometry formulas to complete the calculations. GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****



Manager
Joined: 06 Sep 2018
Posts: 171
Location: Pakistan
Concentration: Finance, Operations
GPA: 2.87
WE: Engineering (Other)

Re: If a square region has area n, what is the length of the dia
[#permalink]
Show Tags
10 Sep 2018, 08:35
let side of square is \(x\) so, \(area=x^2\) \(x^2=n\) \(x=\sqrt{n}\) As the diagonal length of a square with side length \(x\) is = \(\sqrt{2}x\) so, diagonal length of square with side length \(\sqrt{n}\) = \(\sqrt{2}\sqrt{n}\) = \(\sqrt{2n}\) Answer AAlternately you can use pathagoras theorem to find diagonal length of square with side length \(\sqrt{n}\)
_________________
Hitting Kudos is the best way of appreciation.
Eric Thomas, "When you want to succeed as bad as you want to breathe, then you'll be successful."



Director
Joined: 19 Oct 2013
Posts: 509
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)

Re: If a square region has area n, what is the length of the dia
[#permalink]
Show Tags
29 Sep 2018, 09:33
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf a square region has area n, what is the length of the diagonal of the square in terms of n ? (A) \(\sqrt{2n}\) (B) \(\sqrt{n}\) (C) \(2\sqrt{n}\) (D) 2n (E) 2n^2 Problem Solving Question: 76 Category: Geometry Area; Pythagorean theorem Page: 71 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! Area of square = x^2 Since we are given the area = n then the side equals \(\sqrt{n}\) A diagonal in a square creates two 45:45:90 triangles. 45:45:90 x:x:x\(\sqrt{2}\) since the side equals \(\sqrt{n}\) then the diagonal would be \(\sqrt{n} * \sqrt{2} = \sqrt{2n}\) Answer choice A




Re: If a square region has area n, what is the length of the dia &nbs
[#permalink]
29 Sep 2018, 09:33






