Question

Find the cost of fencing the ground in the form of a triangle with sides 16 m, 12 m and 18 m. The rate of fencing is Rs 25 per meter.

Answer 1

Hint: The dimensions of the triangular field are given. In order to find the length of the fence, one needs to find the perimeter of this field first. Now, the rate of fencing per meter length is given. Hence we can find the total cost of fencing the ground.

Complete step-by-step answer:
The dimensions of the triangular field are given as 16 m, 12 m and 18 m.

In order to find the length of the fence, one needs to find the perimeter of this field first.
Perimeter will be the sum of the sides of the triangle.
The perimeter of the triangular field is \[\left( {16 + 12 + 18} \right) = 46\] m.
Now, the rate of fencing is Rs 25 per meter.
Therefore in order to fence 46m, the total cost of fencing will be $46X25 = 1150$Rs.

Hence, the total cost of fencing is Rs. 1150.

Note: Note that, the perimeter of a triangle is given by the sum of all the sides, the given ground is in the shape of a scalene triangle, as the length of all the sides are different.
The other types of triangle are equilateral triangle, right angled triangle and isosceles triangle.