Possible or not?

Geometry Level 1

A man gave his square land to his whole family. He gave ¼ of his land to his wife.

Is it possible that the remaining land is to be shared equally by his 2 sons and 2 daughters?

Yes, it is possible. The explanation is wrong. Yes, but the wife's land should be reduced. No, it is impossible.

Jeremy Bansil by Jeremy Bansil , 27, Philippines

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6 solutions

Jeremy Bansil
Jul 4, 2014

It is possible. Here's something:

http://i1293.photobucket.com/albums/b598/JungleTarziez/onefourth_zps85a33c2e.png

Sorry for the irregularities...

3 Helpful 0 Interesting 0 Brilliant 0 Confused

You should say something like, "Is it possible that the remaining land is to be divided into identical plots of land to be shared equally by his 2 sons and 2 daughters? Otherwise, the problem becomes a trivial one, there's lots of ways any irregularly shaped piece of land can be divided into 4 plots of equal area. Dividing it into 4 plots of identical shapes is much harder, and often impossible.

Michael Mendrin - 6 years, 11 months ago

You better write like This

Archiet Dev - 6 years, 11 months ago

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I don't know how ^_^

Jeremy Bansil - 6 years, 11 months ago

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Hey! you got a formatting guide (below.in green color).

Archiet Dev - 6 years, 11 months ago

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@Archiet Dev – Oh... Didn't know it has something like that... Thank you!

Jeremy Bansil - 6 years, 11 months ago

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@Jeremy Bansil – You're welcome!

Archiet Dev - 6 years, 11 months ago

The remaining land can be divided into 4 equal parts of identical shape

Joshy Joseph - 6 years, 10 months ago
Vishal Tangadkar
Jul 31, 2014
  1. if we cut the square, in 1/4 by cutting it on sides..
  2. we will get 4 square.. out of which 1 square is for Wife.
  3. cut remaining 3 squares diagonally.. it will divide square in 4 parts..
  4. from 3 squares we will get 12 parts which we can divide among (2 sons and 2 daughters )..

So Its possible :) :)

2 Helpful 0 Interesting 0 Brilliant 0 Confused

If the man gave 1/4 of the land to his wife, his 4 kids have 3/4 left to spit equally. That's the same as splitting 75% into 4 parts, which would be 18.75% of the land each. Though it would be hard to split the remaining area by drawing lines on the square, it is possible to split it.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Joram Otero
Aug 4, 2014

You can have 4 L shape lands :)

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Vaidya Katam
Jul 28, 2014

yes possible,particular shape wont come(good shape)

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Kevin Patel
Jul 20, 2014

Even if you have said for more than 10 parts, it's always possible.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

equal division would be possible among any number, but not in same shape

soumya shouvik bhattacharjee - 6 years, 10 months ago

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The remaining land can be divided into 4 equal parts of identical shape

Joshy Joseph - 6 years, 10 months ago

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