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

 It is currently 18 Apr 2019, 21:55

### 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

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

# A square mirror has exactly half the area of the rectangular wall on w

Author Message
TAGS:

### Hide Tags

Manager
Joined: 13 Jun 2012
Posts: 204
Location: United States
WE: Supply Chain Management (Computer Hardware)
A square mirror has exactly half the area of the rectangular wall on w  [#permalink]

### Show Tags

Updated on: 11 Mar 2015, 04:19
1
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:29) correct 13% (02:06) wrong based on 69 sessions

### HideShow timer Statistics

A square mirror has exactly half the area of the rectangular wall on which it is hung. If each side of the mirror is 42 inches and the width of the wall is 56 inches, what is the length of the wall, in inches?

(A) 84
(B) 72
(C) 70
(D) 63
(E) 56

Originally posted by Turkish on 10 Mar 2015, 14:54.
Last edited by Bunuel on 11 Mar 2015, 04:19, edited 1 time in total.
Target Test Prep Representative
Status: Chief Curriculum and Content Architect
Affiliations: Target Test Prep
Joined: 24 Nov 2014
Posts: 462
GMAT 1: 800 Q51 V51
Re: A square mirror has exactly half the area of the rectangular wall on w  [#permalink]

### Show Tags

10 Mar 2015, 17:39
1
Turkish wrote:
A square mirror has exactly half the area of the rectangular wall on which it is hung. If each side of the mirror is 42 inches and the width of the wall is 56 inches, what is the length of the wall, in inches?

(A) 84
(B) 72
(C) 70
(D) 63
(E) 56

Just to be cute and do this without too many calculations, we could factor 42 into 2 * 3 * 7 and 56 into 2 * 2 * 2 * 7.

So the area of the mirror would be (2 * 3 * 7)(2 * 3 * 7), and double the area of the mirror is therefore $$2^3 * 3^2 * 7^2$$.

For the wall we already have $$2^3 * 7$$ for the width. So the length must be $$3^2 * 7$$ = 63

Choose .
_________________

# Marty Murray

Chief Curriculum and Content Architect

Marty@targettestprep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Manager
Joined: 13 Jun 2012
Posts: 204
Location: United States
WE: Supply Chain Management (Computer Hardware)
Re: A square mirror has exactly half the area of the rectangular wall on w  [#permalink]

### Show Tags

11 Mar 2015, 02:04
Since the mirror is 42 inches in all sides, it must be a square. Area of a square is A=a^2; 42^2=1764.Area of rectangle is double of that 2 *1764=3528.Now A=lw and we need find w so A/l=w ; 3528/56= 62 Answer!
Manager
Joined: 06 Jul 2014
Posts: 94
Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 660 Q48 V32
Re: A square mirror has exactly half the area of the rectangular wall on w  [#permalink]

### Show Tags

11 Aug 2017, 07:46
2*42*42=56*length
2*42*42= units digit of 8. Answer 63
Re: A square mirror has exactly half the area of the rectangular wall on w   [#permalink] 11 Aug 2017, 07:46
Display posts from previous: Sort by