### Instruction: The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5830, what is the length of the plot in metres?
Answer Choices: (A) 333 (B) 200 (C) 288 (D) 276 (E) 220.### Response: Let's reason about the multi-choice question.
Let length of plot = L meters, then breadth = L - 20 meters
and perimeter = 2[L + L - 20] = [4L - 40] meters
[4L - 40] * 26.50 = 5830
[4L - 40] = 5830 / 26.50 = 220
4L = 260
L = 260/4= 65 meters.
The answer is E