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The sides of a triangular field are 60m, 56m and 52m. Find the cost of planting grass in the field at₹3.75 per square metre. If a space of 4m is to be left for gate to enter the field, find the cost of fencing it at ₹20 per metre. |
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Answer» Answer: given, The SIDES of a triangular field is a =60 b=56 c= 52 semi perimeter= a+b+c /2 = 60+56+52/2 =168/2 s =84 s-a =84-60=20 s-b=84-56=28 s-c=84-52=32 using Heron's formula Area of triangle=√s(s-a)(s-b)(s-c) =√84(84-24)(84-28)(84-32) =√84×60×56×52 =√7×12×12×5×8×7×4×13 =√7×2×2×3×2×2×3×5×2×2×2×7×2×2×13 =√2×2×2×2×2×2×2×2×2×3×3×5×7×7×13 =√2×2×2×2×2×3×5×7×13 =√2×2×2×3×5×7×13 =√2×2×3×5×7×13 =√2×3×5×7×13 =2730m2 Total cost = area×rate =2730×3.75 =10237.5 m2 hope this will HELP you please mark me BRAINLIST |
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