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Question

If the sides of a triangular field measure 51 m, 37 m and 20 m, then the cost of levelling it at Rs 5 per m2 is Rs 1530.

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Solution

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Let:a=51 m, b = 37 m and c=20 ms= a+b+c2=51+37+202=54 mBy Heron's formula, we have:Area of triangle = s(s-a)(s-b)(s-c)=54(54-51)(54-37)(54-20)=54×3×17×34=3×3×3×2×3×17×17×2=17×2×3×3=306 m2
Cost of levelling 1 m2 of area = Rs 5
Cost of levelling 306 m2 of area = 5×306 =Rs 1530

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