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2021 IIMC keystage2-EMIC individual Question 2

xIMC · 2021 IIMC keystage2-EMIC individual

Question 2

Monika has $5$ different kinds of tiles, called tetrominoes, which look like this:

Question illustration

Each tile is composed of four identical squares with side length of $1$ cm. Using the same number of tiles of each kind, Monika wants to form a rectangle. What is the smallest possible perimeter, in cm, of the rectangle?