A square field has an area of 3136 square meters. Barbed wire, costing Rs. 1.50 per meter, is to be installed around the field with a height of 3 meters. Two gates, each 1 meter wide, will be left open as entrances. What is the total expense for the barbed wire?

Explanation

Since the area of the square field is 3136 sq m, the side length is √3136 = 56 meters. The total perimeter is 4 × 56 = 224 meters. The barbed wire is 3 meters high, so the total length of wire needed is 224 × 3 = 672 meters. Subtracting the length for two gates (2 × 1 = 2 meters) multiplied by height: 2 × 3 = 6 meters, the effective length of wire is 672 - 6 = 666 meters. At Rs. 1.50 per meter, the total cost is 666 × 1.50 = Rs. 999.