can the remaining area be divided

Geometry Level 2

There is a square field of side 100m. In 1 quadrant of this area , a house is there. Can the remaining portion be divided in 4 plots of same size and shape?

no can't say yes insufficient data

Abhinav Srijan by abhinav srijan , 17, India

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2 solutions

David Stiff
Jun 5, 2018

If I understand the problem correctly, a quarter of the square property cannot be used, so the remaining 3 4 \frac{3}{4} must be divided into fourths.

One way to do this would be as follows:

1 Helpful 1 Interesting 1 Brilliant 0 Confused

Yes you have got the correct answer

abhinav srijan - 3 years ago
Michael Mendrin
Jun 5, 2018

Infinitely many solutions are possible. Here's one

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Sorry but one quarter of field I already occupied by the house

abhinav srijan - 3 years ago

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This works - if you put the house in the middle quadrant formed by joining the four internal vertices (one of which is circled in red), then you leave four regions of equal area surrounding it.

Miles Koumouris - 3 years ago

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but I have written in the problem that the shapes of the four areas must be similar to the shape of houses's area.

abhinav srijan - 2 years, 2 months ago

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