Question

Find the cost of levelling the ground in the form of a triangle having the sides 51m, 37m, and 20m at the rate of rs 3 per meter square

Answer 1

Hey!!Hope this helps you....

length of the sides=51m,37m,20m
cost for levelling 1m square=Rs 3
∴ we need to find the area of the ground
=√s(s-a)(s-b)(s-c)
∴s=a+b+c/2
=51+37+20/2
=108/2
=54
∴area=√54(54-51)(54-37)(54-20)
=√54×3×17×34
=√93636
=306 square metres
∴cost for levelling the ground
=3×306
=918
Ans:-Rs 918 are required to level the ground.

Answer 2

Here is your Answer:

Area of the triangular field ...using heron's formula,

semi perimeter=51+37+20/2=54m

So, area = √s(s-a) (s-b) (s-c)

=√54(54-51)(54-37)(54-20)

=√54*3*17*34

=√93636

=306m^2.

So, now, cost of leveling = area * rate

=306*3

= 918

Hence the cost is 981 Rs.

Hope it helps :D