Square Problem

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gmat009: Master | Next Rank: 500 Posts; Posts: 458; Joined: Sun Aug 31, 2008 10:44 amFollowed by: 1 member; Thanked: 3 times

by gmat009 » Tue Oct 07, 2008 8:47 pm

In the figure above[attached figure], the area of square region PRTV is 81, and the ratio of the area of square region XSTU to the area of square region PQXW is 1 to 4. What is the length of
segment RS?
A. 5
B. 5.5
C. 6
D. 6.5
E. 7

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Source: Beat The GMAT — Problem Solving | Tue Oct 07, 2008 8:47 pm

amitansu: Master | Next Rank: 500 Posts; Posts: 294; Joined: Tue Feb 26, 2008 9:05 pmFollowed by: 1 member; Thanked: 13 times

by amitansu » Tue Oct 07, 2008 8:57 pm

It should be 6.

Given total area=81=> side=9

Ratio of two squares=1/4=> ratio of sides=1/2

qx=rs => rs=2 then st=1

so rs=2/3*9=6

Amit

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