Can the image to the right be cut into two equal parts with which we can form a 6 × 4 rectangle?
Hint
: You don't have to cut on the lines, and the cut can zigzag as much as you like.
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How come those are rectangles? I am sorry, but the question was ill posed.
It obviously ends with a rectangle 6 x 4 !
Either I missed a class where my teacher taught us how a 6 x 4 rectangle looks like or this question is incorrect.
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Never seen that king of rectangle either ^^
https://www.mathsisfun.com/geometry/rectangle.html
https://en.wikipedia.org/wiki/Rectangle
https://en.oxforddictionaries.com/definition/rectangle
What was your thought process? Did you just try different combinations until you arrived at an answer?
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.
The image can be cut and moved as following:
com.net/8=o( ( )
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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?
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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?
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Nevermind I see
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 π 6 will have area 24 but cannot be cut into two pieces which form a rectangle. You have not proven that this shape will work.
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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.
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