Select the option figure that is made up of exactly the pieces given in Figure (X). A piece may be turned round, and the lines in an option show the pieces it is cut into.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) →
A figure can be formed from the pieces only if it is cut into exactly the 5 pieces of Figure (X), each with the same shape and size (a piece may be turned round). The 5 pieces of Figure (X), turned round where needed, fit together as the octagon of Option (4), as shown in the same colours below.
Option (1) — Incorrect. It is cut differently: its bottom, left, right, top and top-right pieces do not match any piece of Figure (X), even when turned round.
Option (2) — Incorrect. The line between its right piece and its bottom-right piece is in a different place: the right piece has one small square less and the bottom-right piece one small square more, so neither of them is one of the given pieces.
Option (3) — Incorrect. The line between its top piece and its right piece is in a different place: the top piece has one small square less and the right piece one small square more, so neither of them is one of the given pieces.