We have a hexagon shown as below with two quadrilaterals:

enter image description here

Your task is:

  • Slice hexagon into two pieces and combine these pieces to find shape $a$
  • Slice hexagon into three pieces and combine these pieces to find shape $b$

Note: There is no scale in the pictures as you would guess.

  • $\begingroup$ Your shape a has a long side that is twice as long as its short side. Shouldn't it be 3 times as long for the 2-piece solution to work? $\endgroup$ Nov 12, 2017 at 8:59
  • $\begingroup$ @JaapScherphuis which shape are you are talking about? there are 3 shapes in total. $\endgroup$
    – Oray
    Nov 12, 2017 at 9:18
  • $\begingroup$ Shape a. Yours consists essentially of 4 equilateral triangles stuck together in a row, but it should be like 6 in a row. It should be longer than it is now. It is not a problem with the scale/size, it is a problem with the shape. $\endgroup$ Nov 12, 2017 at 9:20
  • $\begingroup$ @JaapScherphuis I see, the aim was just to draw parallel quadrilateral. I understand what u meant now, I can fix it with better shapes. $\endgroup$
    – Oray
    Nov 12, 2017 at 9:21

1 Answer 1


Assuming size isn't preserved:

Shape a:


Shape b:


  • 1
    $\begingroup$ For part a, your final shape has one side that is 3 times as long as the other. I think in the shape in the problem statement it is only about twice as long. This could be a mistake on Oray's part cause I really don't see how else you could do it with 2 pieces. $\endgroup$ Nov 12, 2017 at 8:35

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.