A rectangular park has its length and width in the ratio 3:2, and its total area measures 3750 square meters. What is the cost of fencing the park if the fencing rate is 50 paise per meter?

Explanation

Given the length-to-width ratio of 3:2 and an area of 3750 sq m, we first determine the dimensions. Let the sides be 3x and 2x, so the area is 3x * 2x = 6x² = 3750. Solving for x² gives x² = 625, so x = 25. The sides are 75 m and 50 m. The perimeter is 2(75 + 50) = 250 meters. At 50 paise (0.50 Rs) per meter, the total fencing cost is 250 * 0.50 = Rs. 125.