The sides of a triangular field are 120 m, 170 m and 250 m.The cost of levelling the field at the rate of ₹7.40/m$$^2$$ is:
sides of field a=120m,b=170m,c=250m.
semiperimeter of field s=$$\dfrac{a+b+c}{2}$$
$$\rightarrow s=\dfrac{120+170+250}{2}$$m
$$\rightarrow s=\dfrac{540}{2}$$m
$$\rightarrow s=270m$$
area of field by heron's formula,
$$\rightarrow$$ area A=$$\sqrt{s(s-a)(s-b)(s-c)}unit^2$$
$$\rightarrow$$ A=$$\sqrt{270(270-120)(270-170)(270-250)}m^2$$
$$\rightarrow$$ A=$$\sqrt{270\times150\times100\times20}m^2$$
$$\rightarrow$$ A=$$9000m^2$$
$$\rightarrow$$ total cost =$${9000\times7.40}$$rs
$$\rightarrow=66600rs$$
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