GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Sep 2018, 23:12

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

The length of the diagonal of a certain rectangle is 8. If the sum of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49275
The length of the diagonal of a certain rectangle is 8. If the sum of  [#permalink]

Show Tags

New post 28 Aug 2018, 05:26
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

63% (01:31) correct 37% (02:30) wrong based on 49 sessions

HideShow timer Statistics

The length of the diagonal of a certain rectangle is 8. If the sum of the lengths of the sides is 10, what is the area of the rectangle?

A. 18
B. 36
C. 64
D. 80
E. It cannot be determined.

_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 733
Concentration: Strategy, General Management
Premium Member CAT Tests
Re: The length of the diagonal of a certain rectangle is 8. If the sum of  [#permalink]

Show Tags

New post 28 Aug 2018, 05:35
Bunuel wrote:
The length of the diagonal of a certain rectangle is 8. If the sum of the lengths of the sides is 10, what is the area of the rectangle?

A. 18
B. 36
C. 64
D. 80
E. It cannot be determined.


a+ b = 10
a^2 + b^2 = 100 -2ab
64 = 100-2ab
2ab = 36 , ab=18
Senior Manager
Senior Manager
User avatar
D
Joined: 06 Jan 2015
Posts: 472
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Premium Member
Re: The length of the diagonal of a certain rectangle is 8. If the sum of  [#permalink]

Show Tags

New post 28 Aug 2018, 05:39
Bunuel wrote:
The length of the diagonal of a certain rectangle is 8. If the sum of the lengths of the sides is 10, what is the area of the rectangle?

A. 18
B. 36
C. 64
D. 80
E. It cannot be determined.


The length of the diagonal of a certain rectangle is 8 i,e d=8

a+b=10 --> (1)

(a+b)^2=100

a^2+b^2+2ab=100

we know that

a^2+b^2 = d^2

64+2ab=100

2ab=36

ab=18

Hence A
_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 851
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
The length of the diagonal of a certain rectangle is 8. If the sum of  [#permalink]

Show Tags

New post 28 Aug 2018, 05:47
Bunuel wrote:
The length of the diagonal of a certain rectangle is 8. If the sum of the lengths of the sides is 10, what is the area of the rectangle?

A. 18
B. 36
C. 64
D. 80
E. It cannot be determined.


Given, Diagonal=\(\sqrt{l^2+w^2}=8\) Or, \(l^2+w^2=8^2\)
Given, sum of the lengths of the sides is 10 Or (l+w)=10

To find, area=l*w=?

\((l+w)^2=l^2+w^2+2lw\)
Or, \(10^2=8^2+2lw\)
Or, \(l*w=\frac{10^2-8^2}{2}\)=18

Ans. (A)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2835
Re: The length of the diagonal of a certain rectangle is 8. If the sum of  [#permalink]

Show Tags

New post 30 Aug 2018, 18:08
Bunuel wrote:
The length of the diagonal of a certain rectangle is 8. If the sum of the lengths of the sides is 10, what is the area of the rectangle?

A. 18
B. 36
C. 64
D. 80
E. It cannot be determined.


We can create the following equations:

L^2 + W^2 = 8^2

L^2 + W^2 = 64

and

L + W = 10

Squaring both sides of the equation, we have:

(L + W)^2 = 10^2

L^2 + W^2 + 2LW = 100

Substituting, we have:

64 + 2LW = 100

2LW = 36

LW = 18, which is the area of the rectangle.

Answer: A
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: The length of the diagonal of a certain rectangle is 8. If the sum of &nbs [#permalink] 30 Aug 2018, 18:08
Display posts from previous: Sort by

The length of the diagonal of a certain rectangle is 8. If the sum of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.