Question

The side of a triangular field are 60m, 56m are 52m. Find the cost of planting grass in the field at Rs. 3.75 per square metre. ​

Answer 1

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

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