The problem in the image asks for the cost of fencing a rectangular field of dimensions $34 \, \text{m}$ (length) and $18 \, \text{m}$ (width) at the rate of ₹22.50 per meter.

Solution:

1. Perimeter of the rectangular field: The formula for the perimeter $P$ of a rectangle is: $P = 2 \times (\text{length} + \text{width})$ Substituting the values: $P = 2 \times (34 + 18) = 2 \times 52 = 104 \, \text{m}$

2. Cost of fencing: The cost of fencing is calculated by multiplying the perimeter by the cost per meter: $\text{Cost} = P \times \text{rate per meter}$ Substituting the values: $\text{Cost} = 104 \times 22.50 = ₹2340$

Final Answer:

The cost of fencing the rectangular field is ₹2340.

Would you like me to explain any part of the solution in more detail or assist further?

Here are some related questions to expand your understanding:

1. How would the cost change if the length and width of the field were doubled?
2. What is the formula for calculating the perimeter of other shapes like circles or triangles?
3. If the rate per meter was increased by 10%, how would the new cost of fencing be calculated?
4. Can the cost calculation be automated in a programming language like Python?
5. How would you calculate the cost if there was an additional charge for corners?

Tip: Always confirm the units of dimensions and rates when solving such problems to avoid errors.