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4) geometry problem

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4) geometry problem

by ern5231 » Sat Sep 26, 2009 8:13 am
A rectangular lawn of length L and width W is surrounded by a path of width d. Four corners of the path are quarter circles. What is the proportion of the area of path to that of the total area?

(1) The rectangular lawn has area 18d

(2) Lawns area is 360
Last edited by ern5231 on Thu Oct 08, 2009 7:29 pm, edited 1 time in total.
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Source: — Data Sufficiency |
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by varunkh70 » Tue Sep 29, 2009 7:34 am
any opinions? I would also like to know...
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by vaibhav.iit2002 » Tue Sep 29, 2009 8:26 am
I don't know if this is correct. IMO E

area of path = 2(l.d + w.d) + 4.(pi.d^2)/4

1. area : l.w = 18d => no solution to above equation.
2. area : l.w = 360 => unknown d hence solution not possible

1 and 2: 18d = l.w = 360
Now,
d is known, but l+w is unknown => hence not possible with 1 and 2 as well.
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by ern5231 » Thu Oct 08, 2009 7:25 pm
OA given is D! Any comments?
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