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mlane25269
- Master | Next Rank: 500 Posts
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- Joined: Fri Jun 13, 2008 7:31 am
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Having some trouble understanding this one. OA is C but I picked E.
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but would appreciate if someone can suggest a faster way.
So it is either a C or E.
from stmt 1
2(l +w) = 28
=> l + w = 14 ------------- (1)
Squaring both sides
(l +2)^2 = 196
l^2 + w^2 +2lw = 196.
From the figure
l^2 + w^2 = 10^2 (from stmt 2)
simplifying, lw = 48 ------------(2)
substitute 2 in 1
l + 48/l = 14
=> l^2 -14l +48 = 0
solving this l = 6 or 8.
Now from the problem we get the longer side is l = 8 so
shorter side = 6 ( coz l + w = 14)
from this diameter of circle = 6 = length of shorter side .
area of semi circle = 1/2 * 22/7 * (6/2)^2.
Add this value to 48 from stmt 2
to get the answer.
Long process!!!!
.hope someone can provide a faster better procedure.
I took more than 2 mins
to figure out.Also any thoughts on the problem level ??
I think this is a 600 - 700 level problem.
What do u guys think?
