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

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Senior Manager
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I wish to have a 100 sq.m rectangle (not a square) [#permalink]  29 Jan 2004, 15:52
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, 16:00, edited 3 times in total.
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SHow working my friend
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Pls include reasoning along with all answer posts.
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Manager
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Is it D) who gives a crap, I love looking at the cutie
Manager
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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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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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Manager
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Hey Vivek, from where do we get the avathars( cricketers), I would love to change my avathar, Sachin is one of my God.
Senior Manager
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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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"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"

Manager
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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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i dont understand... 2l+b=30 then l+b=15..how did u get 20..??
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shubhangi

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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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Pls include reasoning along with all answer posts.
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ab = 100
2a+b = 30
a = 10 or a = 5
b = 10 or b = 20
a+b = 20 or 25
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got it sunny...anand's expl is cool too
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shubhangi

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Hi sunnyboy,

You are probably better off with option D man!

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