Question

Total cost of fencing the park as shown in the figure is $Rs.55000$. Find the cost of fencing per metre.
               

Answer 1

Hint: In this question, the given total cost of fencing the park and we have to find the cost of per metre. This question can be solved by finding out the perimeter of the park and then dividing it by the total cost of fencing the park.

Complete step-by-step answer:
At first we need to find out the perimeter of the park. To get the perimeter of the park we need to add the length of all the sides of the park which is given in the diagram.
So, perimeter of the park $ = 150 + 100 + 120 + 180 + 270 + 280 = 1100m$
It is given in the question that the total cost of fencing the park is $Rs.55000$.
Now by dividing the total cost of fencing the park, that is, $Rs.55000$ by perimeter of the park, we will get the cost of fencing per metre.
Therefore cost of fencing per metre$ = \dfrac{{55000}}{{1100}}$$ = 50$
Thus, the cost of fencing the park per metre is $Rs.50$.

Note: Perimeter can be defined as the addition of all the sides of a particular figure.
In this type of question like the cost of fencing a park, it must be kept in mind that you need to find out the perimeter and not the area of the park because here most of the students get confused.
Area will cover the whole while the perimeter will cover the length of the sides which is necessary in case of fencing.
There are other questions related to fencing like you may have to find out the total cost of fencing the park where per metre fencing cost is given, then you have to multiply the cost of per metre fencing with the perimeter of the park.