Question

Find the length of a side of a sqiare, whose area is equal to the area of a rectangle with sides 240 m and 70 m.

Answer 1

The area of the rectangle = 240 m $\times$ 70 m = 16800 m²
Given that the area of the square is equal to the area of the rectangle.
Hence, the area of the square will also be 16800 m².
The length of one side of a square is the square root of its area.
$\therefore$ $$\begin{gathered} \sqrt{16800}=\sqrt{2\times 2\times 2\times 2\times 2\times 3\times 5\times 5\times 7} \\ =2\times 2\times 5\sqrt{2\times 3\times 7} \\ =20\sqrt{42}\mathrm{m}=129.60\mathrm{m} \end{gathered}$$


Hence, the length of one side of the square is 129.60 m