AMO · 2027 · Grades 4-5 · Self-study SET 34 Question 1

Sixteen $1\text{ cm}\times1\text{ cm}$ tiles form a square in 4 rows and 4 columns, as shown. Its perimeter is 16 cm. If it is cut into exactly two pieces along tile edges, what is the greatest total perimeter of the two pieces, in centimetres?



Each piece must remain connected through shared tile edges. Choose one option.