To find the area of the rectangular field, we use the formula for the area of a rectangle:$\\ A =$length$\times$breadth$\\$Given:$\\$• Length $= 55.3$ m$\\$• Breadth $= 25$ m$\\$Calculate the area:$\\ A = 55.3 \times 25 \\$Perform the multiplication:$\\ A = 1382.5$ m$^2 \\$Now, we need to round the result to the correct number of significant digits.$\\$The number with the least significant digits is $25$ (2 significant digits).$\\$Therefore, we round $1382.5$ to 2 significant digits.$\\$Rounding $1382.5$ to 2 significant digits gives us $1400. \\$Express $1400$ in scientific notation:$\\ 1400 = 1.4 \times 10^3 \\$However, the options provided are in a different format.$\\$Option 4 is $14 \times 10^2,$ which is equivalent to $1400. \\$Thus, the correct option is Option 4.