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# I wish to have a 100 sq.m rectangle (not a square)

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I wish to have a 100 sq.m rectangle (not a square) [#permalink]

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29 Jan 2004, 16:52
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

I wish to have a 100 sq.m rectangle (not a square) vedgetable garden. Since I have only 30 metres of barbed wire for fencing to keep my thieving neighbours out of my shit, i fence three sides of the rectangle, letting my house wall act as the fourth side. Do me a favor and find the sum of the length and width of the rectangular field. Cheers!

a. 29
b. 25
c. 20
d. Who gives a crap. I'd rather stare at the cutie to the left.
e. None of these
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Last edited by sunniboy007 on 29 Jan 2004, 17:00, edited 3 times in total.
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29 Jan 2004, 16:59
SHow working my friend
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29 Jan 2004, 17:02
Is it D) who gives a crap, I love looking at the cutie
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29 Jan 2004, 17:06
It is 25 becoz is it given that the fourth side is the wall. So we can assume that it an be length or width but in any case its the same. lb=100 and we can use 2l+b or 2b+l, we get length=width=20 and length=width=5
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29 Jan 2004, 17:17
Would have loved to stare at that cutie...

But as Rakesh and Padma mentioned its 25...

l*b=100
2l+b=30 / 2b+l=30

By solving this eqn we get one side =20 and the other side = 5
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29 Jan 2004, 17:20
Hey Vivek, from where do we get the avathars( cricketers), I would love to change my avathar, Sachin is one of my God.
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29 Jan 2004, 17:45
Rakesh...here you go...
http://sify.com/sports/cricket/imagegal ... 228&type=M

even I'am a live easy fan of Sachin...but someone has Sachin cover driving as his avatar...so went for Sourav and now changed to Kapil holding aloft the world cup...to single yourself out ...go for someone else...maybe Laxman...

Vivek
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29 Jan 2004, 17:52
Yeah Laxman seems to be good and the way he is playing now, 2007 World cup can be ours. Thanks Vivek.
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29 Jan 2004, 18:17
i dont understand... 2l+b=30 then l+b=15..how did u get 20..??
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shubhangi

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29 Jan 2004, 19:12
Shubhangi,

A point by point explanation:

Length(L) * Width(W) = 100...(given)
2W + L = 30 metres....(given)
W= 100/L
Therefore, 2(100/L) + L = 30
Hence, L^2 - 30L + 200 = 0
=> (L - 20)(L - 10)
=> L = 20 or 10
Since we know that 2W + L = 30,
if L = 20 , W = 5
If L = 10, W = 10
Since teh garden is a rectangle and not a square (explicitly mentioned in question stem), L cannot = 10, and W cannot = 10
So, L=20, W=5

Does that help?
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29 Jan 2004, 19:24
ab = 100
2a+b = 30
a = 10 or a = 5
b = 10 or b = 20
a+b = 20 or 25
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29 Jan 2004, 19:43
got it sunny...anand's expl is cool too
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shubhangi

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29 Jan 2004, 21:24
Hi sunnyboy,

You are probably better off with option D man!

29 Jan 2004, 21:24
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