A rectangular plot requires fencing along one of its longer sides, one of its shorter sides, and the diagonal connecting them. If the fencing costs Rs.10 per meter, and the area of the plot is 1200 m² with the shorter side measuring 30 meters, what is the total cost of fencing?

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Explanation

Given the short side is 30 m and the area is 1200 m², the longer side is 1200 ÷ 30 = 40 m. The diagonal length is √(30² + 40²) = 50 m. The total fencing length is 40 + 30 + 50 = 120 m. At Rs.10 per meter, the total cost is 120 × 10 = Rs.1200.

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