Question:
Find the length of each side of a square whose area is equal to the area of a rectangle of length 13.6 metres and breadth 3.4 metres.
Solution:
Area of the rectangle $=(13.6 \times 3.4)=46.24$ sq $\mathrm{m}$
Thus, area of the square is $46.24 \mathrm{sq} \mathrm{m}$.
Length of each side of the square $=\sqrt{46.24} \mathrm{~m}$
Using long division method:
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$\sqrt{46.24}=6.8$
Thus, the length of a side of the square is 6.8 metres.