RE: Can you cut a cake fairly to solve this middle school math problem?
August 6, 2017 at 7:56 pm
(This post was last modified: August 6, 2017 at 7:56 pm by Rev. Rye.)
I think the answer lies in the perimeters. a 20 cm square cake will have a perimeter of 80 cm. Find a corner and measure (or guess) a length of 16 cm. Repeat until you arrive back at the original corner.
Coordinates of each vertex: (0,0), (0,16), (20,12), (12,20), (16,0).
Then find the centre and cut from each vertex to the centre.
![[Image: 1106.jpg?w=620&q=55&auto=format&usm=12&f...0feae22445]](https://i.guim.co.uk/img/media/9c379f418a45a9591a70458f4fbc2da8301209e7/617_311_1106_664/master/1106.jpg?w=620&q=55&auto=format&usm=12&fit=max&s=e2c867e9204d72a5a9a20c0feae22445)
Full disclosure: I looked up the problem on Google, and found that Alex Bellos of The Guardian actually did a whole write-up on the problem last year. It's where I got the diagram from.
Coordinates of each vertex: (0,0), (0,16), (20,12), (12,20), (16,0).
Then find the centre and cut from each vertex to the centre.
![[Image: 1106.jpg?w=620&q=55&auto=format&usm=12&f...0feae22445]](https://i.guim.co.uk/img/media/9c379f418a45a9591a70458f4fbc2da8301209e7/617_311_1106_664/master/1106.jpg?w=620&q=55&auto=format&usm=12&fit=max&s=e2c867e9204d72a5a9a20c0feae22445)
Full disclosure: I looked up the problem on Google, and found that Alex Bellos of The Guardian actually did a whole write-up on the problem last year. It's where I got the diagram from.
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I was born with the gift of laughter and a sense the world is mad.