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