06 Nov '08 14:30

There are two carpets with measure 10 x 10 and 8 x 1. You have to cut one of them so that you get totally three parts now. With these three parts you have to cover a surface of 12 x 9.

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06 Nov '08 18:06

I think he means 1 cut (only) and no layover.*Originally posted by crazyblue***There are two carpets with measure 10 x 10 and 8 x 1. You have to cut one of them so that you get totally three parts now. With these three parts you have to cover a surface of 12 x 9.**

The simple solution would be to make 2 cuts:

cut the 10x10 into 10x8 + 10x2

then cut 10x2 into 9x2 + 1x2

Then the four pieces drop easily in a 12x9 area.

1x2 + 1x8 = 1x10

1x10 + 8x10 = 9x10

9x10 + 9x2 = 9x12

But this requires two cuts.

To make this work with one cut -- I don't want to give the solution away -- prepare to cut an odd shape out.- Joined
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06 Nov '08 18:11

You propsed the followong two cuts:*Originally posted by sdrawkcab***I think he means 1 cut (only) and no layover.**

The simple solution would be to make 2 cuts:

cut the 10x10 into 10x8 + 10x2

then cut 10x2 into 9x2 + 1x2

Then the four pieces drop easily in a 12x9 area.

1x2 + 1x8 = 1x10

1x10 + 8x10 = 9x10

9x10 + 9x2 = 9x12

But this requires two cuts.

To make this work with one cut -- I don't want to give the solution away -- prepare to cut an odd shape out.

cut the 10x10 into 10x8 + 10x2

then cut 10x2 into 9x2 + 1x2

Can't you put the carpets on top of eachother so the same cut cuts both of them?- Joined
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2014.05.0106 Nov '08 19:06

"totally three pieces" means you can't use four pieces.*Originally posted by sdrawkcab***I think he means 1 cut (only) and no layover.**

The simple solution would be to make 2 cuts:

cut the 10x10 into 10x8 + 10x2

then cut 10x2 into 9x2 + 1x2

Then the four pieces drop easily in a 12x9 area.

1x2 + 1x8 = 1x10

1x10 + 8x10 = 9x10

9x10 + 9x2 = 9x12

But this requires two cuts.

To make this work with one cut -- I don't want to give the solution away -- prepare to cut an odd shape out.- Joined
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e406 Nov '08 20:011 editThis reminds me of my next door neighbour.

He came round one day and said.

"You have the same size of living room as me, how many rolls

of wall paper did you buy to decorate it?"

"Six." I replied.

He came back a few days later and said he has one roll left.

I said, "So have I." π- Joined
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12 Nov '08 00:15The problem as stated can be solved under the following parameters.

1) The 10x10 carpet is laid perfectly flat on a flat surface before cutting.

2) The single cut made only touches the edge of the 10x10 square at the start and the end of the cut.

3) The single cut does not intersect itself at any point.

In short, there is no "trick" answer required, but rather there is a solution consists of cutting the 10x10 square into two distinct and whole parts, and no more.

I will note here one hint to help you a little (but not much).

If you were to drawn a 10x10 grid on the carpet, there is at least one solution where you only cut along the grid lines only.

I may give a much bigger hint later which is much more spoilerish, provided there is need for it.- Joined
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slatington, pa, usa- Joined
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slatington, pa, usa12 Nov '08 07:321 edit

In that case the problem is almost trivial.*Originally posted by blacknight1985***yes definitely it must be.. otherwise it seems impossible..**

Seems like cheating though, in the real world you have to stop cutting in one direction to start cutting in another. I guess you could do it by approaching a smaller and smaller circular cut, small radius so you don't stop cuttingπ