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Logic Level 1

Can the image to the right be cut into two equal parts with which we can form a 6 × 4 6\times 4 rectangle?


Hint : You don't have to cut on the lines, and the cut can zigzag as much as you like.

Yes No

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7 solutions

Ronald Chén
Nov 30, 2017

How come those are rectangles? I am sorry, but the question was ill posed.

Eduardo Silva - 3 years, 6 months ago

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How it is done

Hamza Butt - 3 years, 5 months ago

It obviously ends with a rectangle 6 x 4 !

Dylan Jambon - 3 years, 6 months ago

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Ony Log - 8 months, 1 week ago

Either I missed a class where my teacher taught us how a 6 x 4 rectangle looks like or this question is incorrect.

Samay Sharma - 3 years, 6 months ago

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Never seen that king of rectangle either ^^

Fénelon PN - 3 years, 5 months ago

https://www.mathsisfun.com/geometry/rectangle.html

https://en.wikipedia.org/wiki/Rectangle

https://en.oxforddictionaries.com/definition/rectangle

Konstantinos Atmatzidis - 3 years, 5 months ago

What was your thought process? Did you just try different combinations until you arrived at an answer?

travis lantz - 3 years, 5 months ago

The question doesn't ask for the two parts to be rectangles- just that they are equal and when put together, make a 6 by 4 rectangle.

Emily Peng - 1 year, 5 months ago
David Vreken
Dec 11, 2017

The image can be cut and moved as following:

com.net/8=o( ( )

Ony Log - 8 months, 1 week ago
Munem Shahriar
Dec 11, 2017

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Ony Log - 8 months, 1 week ago
Dries Grobler Jr.
Dec 14, 2017

Counting the blocks, 23, plus the 2 halves give 24 total blocks (6 x 4 = 24) so YES it is possible.

Just because the area is the same doesn't prove it is possible. If the puzzle was to create a 24 x 1 rectangle from the two pieces, would you still claim that it was possible?

Paul Cockburn - 2 years, 4 months ago

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Ony Log - 8 months, 1 week ago
Albert Zacho
Dec 11, 2017

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Ony Log - 8 months, 1 week ago

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Ony Log - 8 months, 1 week ago

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Ony Log - 8 months, 1 week ago
Jao Garcia
Dec 11, 2017

Area Given = 2(4.5) + 3.5 = 24

Area required = 6(4) = 24

Area Given >= Area required

Where did you get the 3.5 from?

Ashley E - 3 years, 6 months ago

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Ony Log - 8 months, 1 week ago

Nevermind I see

Ashley E - 3 years, 6 months ago

The problem asks you to split the shape into two halves which form a rectangle. You shown that it might be possible, but there are shapes with area 24 that cannot form the proper rectangle. For example, a circle with radius 2 6 π 2\sqrt{\frac{6}{\pi}} will have area 24 but cannot be cut into two pieces which form a rectangle. You have not proven that this shape will work.

Zain Majumder - 3 years, 6 months ago

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Ony Log - 8 months, 1 week ago

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Ony Log - 8 months, 1 week ago
Dari Acuña
Dec 15, 2017

I went like: Every figure can be divided into two, and the area is 25-1, that's 24, which is the area the rectangle they're talking. So the answer is yes.

s o 8=o@?( ( ) /$t t t m

Ony Log - 8 months, 1 week ago

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