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? $\endgroup$ – Jaap Scherphuis Nov 12 '17 at 8:59
  • $\begingroup$ @JaapScherphuis which shape are you are talking about? there are 3 shapes in total. $\endgroup$ – Oray Nov 12 '17 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. $\endgroup$ – Jaap Scherphuis Nov 12 '17 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 '17 at 9:21

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. $\endgroup$ – Jaap Scherphuis Nov 12 '17 at 8:35

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