The correct answer is option (E):
None of these
Here's how to solve the problem and why the provided answer is correct:
1. Understand the Problem: We need to find the cost of fencing a rectangular field. We know the ratio of the sides, the area, and the cost per meter of fencing.
2. Set up Variables: Let the sides of the rectangle be 3x and 5x.
3. Use the Area to Find x: The area of a rectangle is length times width. So, (3x) * (5x) = 2535 m².
This simplifies to 15x² = 2535.
Divide both sides by 15: x² = 169.
Take the square root of both sides: x = 13.
4. Calculate the Actual Sides: Now that we know x, we can find the actual lengths of the sides.
Length: 5x = 5 * 13 = 65 m
Width: 3x = 3 * 13 = 39 m
5. Calculate the Perimeter: The perimeter of a rectangle is 2 * (length + width).
Perimeter = 2 * (65 m + 39 m) = 2 * 104 m = 208 m
6. Calculate the Fencing Cost: Multiply the perimeter by the cost per meter.
Cost = 208 m * Rs. 2.50/m = Rs. 520
7. Compare with the Options: The calculated cost of fencing is Rs. 520. None of the provided options includes this value.
Therefore, the correct answer is "None of these".