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#1 2016-06-28 14:16:05

Mathegocart
Member
Registered: 2012-04-29
Posts: 2,226

Quadrilaterals and sections

1) A rectangle is split using 4 lines. What is the greatest number of area sections that can be made from the seperation?
I'm thinking 9, can anyone confirm this?


The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

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#2 2016-06-28 14:45:47

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Quadrilaterals and sections

Hi;

It is not too hard to come up with a 11 section drawing.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2016-06-29 09:39:08

Mathegocart
Member
Registered: 2012-04-29
Posts: 2,226

Re: Quadrilaterals and sections

Thank you, I must have ignored the small sections when I drew the diagram. thanks.


The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

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#4 2016-06-29 11:30:09

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Quadrilaterals and sections

Okay, how are you doing?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2016-06-29 21:02:17

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Quadrilaterals and sections

8 is the  number of sections when all lines pass through a point. 5 is the minimum number when no two lines intersect.


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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