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

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Manager
Joined: 13 Jun 2012
Posts: 114

Kudos [?]: 86 [0], given: 323

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

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10 Mar 2015, 14:54
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Difficulty:

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Question Stats:

84% (01:19) correct 16% (01:39) wrong based on 61 sessions

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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
[Reveal] Spoiler: OA

Last edited by Bunuel on 11 Mar 2015, 04:19, edited 1 time in total.

Kudos [?]: 86 [0], given: 323

Manager
Joined: 24 Nov 2014
Posts: 169

Kudos [?]: 204 [1], given: 19

GMAT 1: 800 Q51 V51
Re: A square mirror has exactly half the area of the rectangular wall on w [#permalink]

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10 Mar 2015, 17:39
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KUDOS
Expert's post
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
[Reveal] Spoiler:
D
.
_________________

Marty Murray
GMAT Coach
m.w.murray@hotmail.com
http://infinitemindprep.com

Kudos [?]: 204 [1], given: 19

Manager
Joined: 13 Jun 2012
Posts: 114

Kudos [?]: 86 [0], given: 323

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]

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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!

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Re: A square mirror has exactly half the area of the rectangular wall on w [#permalink]

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11 Aug 2017, 04:41
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Re: A square mirror has exactly half the area of the rectangular wall on w [#permalink]

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11 Aug 2017, 07:46
2*42*42=56*length
2*42*42= units digit of 8. Answer 63

Kudos [?]: 34 [0], given: 155

Re: A square mirror has exactly half the area of the rectangular wall on w   [#permalink] 11 Aug 2017, 07:46
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# A square mirror has exactly half the area of the rectangular wall on w

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