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In the following picture, if one puts some of the shapes A, B, C, D, and E together, they can make a square. Then which shapes would be redundant?

  1. Only A
  2. Only D
  3. Only E
  4. A and D

enter image description here

Can you construct the square and show it in a picture? I found it hard which part should be placed beside which part.

Source:Iranian Ph.D. Entrance exam 2017

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You can fit them together like this (diagram not perfectly to scale):

enter image description here

which uses

all except D.

(Highly sophisticated mathematical solution technique: print on paper, cut out the shapes, push them around and see what happens.)

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