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Register now and save up to $200 Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code Geometry tagged by: Brent@GMATPrepNow This topic has 6 expert replies and 2 member replies vinay1983 Legendary Member Joined 14 Aug 2013 Posted: 643 messages Followed by: 6 members Upvotes: 48 Target GMAT Score: 650+ Geometry Wed Sep 18, 2013 7:19 am A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. lf the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip? i. 1 ii. 3 iii. 4 (A) I onlY (B) ll onlY (C) I and ll only (D) I and lll only (E) l, ll, and lll Original explanation is waaaaaayyyy to lengthy!Any simple method. Rather is there any conceptual approach to such problems? _________________ You can, for example never foretell what any one man will do, but you can say with precision what an average number will be up to! GMAT/MBA Expert DavidG@VeritasPrep Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 119 members Upvotes: 1153 GMAT Score: 770 Wed Dec 09, 2015 1:45 pm See here for a virtually identical question/discussion: http://www.beatthegmat.com/ds-geometry-t284497.html _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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sanju09 GMAT Instructor
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Wed Dec 09, 2015 11:54 pm
vinay1983 wrote:
A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. lf the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip?

i. 1
ii. 3
iii. 4

(A) I onlY
(B) ll onlY
(C) I and ll only
(D) I and lll only
(E) l, ll, and lll

Original explanation is waaaaaayyyy to lengthy!Any simple method. Rather is there any conceptual approach to such problems?
E

_________________
The mind is everything. What you think you become. â€“Lord Buddha

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The Princeton Review - Manya Abroad
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Brent@GMATPrepNow GMAT Instructor
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770
Wed Sep 18, 2013 7:29 am
vinay1983 wrote:
A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. lf the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip?

i. 1
ii. 3
iii. 4

(A) I onlY
(B) ll onlY
(C) I and ll only
(D) I and lll only
(E) l, ll, and lll

This is a bit of a trick question.
We have a brass square inside a wood frame. The ratio of the brass area to the wooden area is 25 to 39.
Once we find a width of the wooden strip that works, we can shrink or expand size of the plaque to get ANY width.
In other words, the wooden strip can have ANY length.

Cheers,
Brent

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Brent@GMATPrepNow GMAT Instructor
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Wed Sep 18, 2013 7:44 am
vinay1983 wrote:
A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. lf the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip?

i. 1
ii. 3
iii. 4

(A) I onlY
(B) ll onlY
(C) I and ll only
(D) I and lll only
(E) l, ll, and lll
Here are some diagrams to support the solution in my last post.

Let's say we want to create a plaque with a square brass inlay in the center, and we want the brass to wood ratio to be 25:39

Let's begin a square wooden board with ANY dimensions.

Now place a square brass inlay in the middle of the wooden board, and keep adjusting the size of the brass inlay until we have a brass to wood ratio that is 25:39

At this point, if we shrink or expand the plaque . . .

. . . the brass to wood ratio will remain at 25:39

So, as you can see, this plaque can be ANY size, which means the width of the wooden strip can have ANY measurement.

Cheers,
Brent

_________________
Brent Hanneson â€“ Founder of GMATPrepNow.com
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rupalie Newbie | Next Rank: 10 Posts
Joined
13 Nov 2015
Posted:
3 messages
Tue Dec 08, 2015 10:28 am
What's the answer to this question?

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Brent@GMATPrepNow GMAT Instructor
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Tue Dec 08, 2015 11:21 am
rupalie wrote:
What's the answer to this question?
E

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rupalie Newbie | Next Rank: 10 Posts
Joined
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Posted:
3 messages
Tue Dec 08, 2015 11:25 am
Thanks Brent, can you please explain...thanks!

GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
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Thu Dec 10, 2015 6:55 am
rupalie wrote:
Thanks Brent, can you please explain...thanks!
See my posts above

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