How to solve this....

This topic has expert replies
Source: — Problem Solving |

Master | Next Rank: 500 Posts
Posts: 140
Joined: Fri Feb 05, 2010 2:43 pm
Thanked: 3 times
GMAT Score:720

by analyst218 » Mon May 10, 2010 9:01 am
vlazareva wrote:Image
[/img]
C.
since area of equilateral is (t^2*sq root 3)/4
setting it equal to s^2 will give you t^2/s^2 = 4/(sq root 3)
which means t:s = 4:sq rt3.

Legendary Member
Posts: 759
Joined: Mon Apr 26, 2010 10:15 am
Thanked: 85 times
Followed by:3 members

by clock60 » Mon May 10, 2010 9:11 am
vlazareva wrote:Image
[/img]
i got 2/3^1/4 -D

the area of triangle=(t^2*3^1/2)/4=s^2 as area of the triangle equal that of square
(t/s)^2=4/3^1/2
t/s=2/(3^1/4)

Master | Next Rank: 500 Posts
Posts: 385
Joined: Sun Jul 12, 2009 10:16 pm
Thanked: 29 times
Followed by:2 members
GMAT Score:710

by debmalya_dutta » Mon May 10, 2010 7:34 pm
IMO D because
area of equilateral triangle = sqrt(3)/4 * (t)^2
area of square = s^2
hence t/s = 2/(3^0.25)

User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

by sanju09 » Tue May 11, 2010 3:37 am
vlazareva wrote:Image
[/img]
We have an equilateral triangle of side t and a square of side s, such that

√3/4 × t^2 = s^2

Or t^2 : s^2 = 4 : √3

Or t : s = [spoiler]2 : 4th root of 3

D, alright toothpastepromoter?
[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com