The pieces in Figure (X) are put together, without overlapping, to make one of the figures given in the options. Which one? (Lines inside an option show its pieces.)
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) →
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 (2), as shown in the same colours below.
Option (1) — Incorrect. It is cut differently: its pieces are not the pieces of Figure (X), even when turned round.
Option (3) — Incorrect. The line between its bottom-left piece and its bottom-right piece is in a different place: the bottom-left 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 (4) — Incorrect. The line between its bottom-right piece and its bottom-left piece is in a different place: the bottom-right piece has one small square less and the bottom-left piece one small square more, so neither of them is one of the given pieces.