The length of a rectangular plot is 10 meters more than its breadth. If the cost of fencing around the plot is ₹ 1,550 at the rate of ₹15.50 per meter, then the length of the plot will be

Correct option is B

​$$\textbf{Solution:} \\[5pt]\text{Let the breadth of the rectangle be } x \text{ meters.} \\\text{Then the length is } x + 10 \text{ meters.} \\[5pt]\text{Perimeter of rectangle:} \\P = 2(l + b) = 2(x + 10 + x) = 2(2x + 10) = 4x + 20 \\[5pt]\text{Cost of fencing per meter = ₹15.50} \\\text{Total cost = ₹1,550} \\[5pt]\text{Total length of fencing:} \\\frac{1550}{15.5} = 100 \text{ meters} \\[5pt]\text{So, } 4x + 20 = 100 \Rightarrow 4x = 80 \Rightarrow x = 20 \\[5pt]\text{Length = } x + 10 = 20 + 10 = 30 \text{ meters} \\[10pt]\boxed{\text{The correct answer is: (b) 30 meters}}$$​​