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MYTS 2019 - Grade 5 - Round 2 Question 4

MYTS · MYTS 2019 - Grade 5 - Round 2

Question 4

There are ten stickers: one $2\text{ cm}\times2\text{ cm}$ square, two $2\text{ cm}\times1\text{ cm}$ rectangles, and seven $1\text{ cm}\times1\text{ cm}$ squares, as shown below.

(a) Which stickers should be selected to tile a rectangle with perimeter 24 cm? Show a suitable arrangement.

(b) Is it possible to select some of the ten stickers and tile a rectangle with perimeter greater than 24 cm? Explain why.

Note: Stickers may not be cut, folded or overlapped.

Question illustration