One side of the rectangle was increased by 3 times, and the other side was reduced by 2 times, resulting in a square.

What is the side of the square if the area of the rectangle is 54 m²

#
Let's reduce one side of the given rectangle by half. Then the area of the resulting rectangle will be $27 \mathrm{~m}^{2}$. Next, we will triple the other side. The area of the resulting figure will become $27 \cdot 3=81$ ( $\mathrm{m}^{2}$ ). Since, by the condition, a square is formed, its side is 9 m.

## Answer

9 m.