Question

find the cost of turfing a triangular field at the rate of rupees 5 per m2 having length of its sides as 40m, 70m, 90m.

Answer 1

may this answer is this Rs.1260000 only

Answer 2

Answer:

Rs.9000000

Step-by-step explanation:

Cost of  turfing 1 square meter = Rs. 5

Sides of triangular field is 40 m , 70 m, 90 m.

Are of triangle can be calculated by Heron's Formula

Heron's formula = $\sqrt{s(s-a)(s-b)(s-c)}$

Where $s=\frac{a+b+c}{2}$

Where a,b,c are sides of the triangle .

So, area of the triangular field :

a- 40

b = 70

c = 90

$s=\frac{40+70+90}{2}$

$s=\frac{200}{2}$

$s=100$

Area = $\sqrt{100(100-40)(100-70)(100-90)}$

        = $\sqrt{100(60)(30)(10)}$

       = $1800000 m^2$

Now Cost of turfing 1 square meter = Rs. 5

So cost of turfing 1800000 square meter = 1800000*5

                                                                       =Rs.9000000

Thus the cost of turfing the triangular field is Rs. 9000000