Which of the answer figures can be made by joining all the pieces shown in Figure (X)? The pieces may be turned round; the lines in each answer figure show how it is cut.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) →
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 rectangle of Option (1), as shown in the same colours below.
Option (2) — Incorrect. The line between its bottom-left piece and its right piece is in a different place: the bottom-left piece has one small square less and the right piece one small square more, so neither of them is one of the given pieces.
Option (3) — Incorrect. The line between its top-right piece and its top-left piece is in a different place: the top-right piece has one small square less and the top-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-right, left and top-right pieces do not match any piece of Figure (X), even when turned round.