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.

\[\therefore\]\[\sqrt{16800} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 5 \times 5 \times 7}\]
\[ = 2 \times 2 \times 5\sqrt{2 \times 3 \times 7}\]
\[ = 20\sqrt{42}\text{ m } = 129 . 60 \text{ m }\]

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