Calculation of Pathway Area and Cost: A Comprehensive Guide

When it comes to planning and constructing a park or garden, accurate calculations of areas and construction costs are essential. This guide will walk you through the process of calculating the area of a pathway and estimating its construction cost per square meter. We will use a specific example to illustrate the steps involved.

Understanding the Problem

The problem at hand is calculating the area of a pathway surrounding a park that is 55 meters long and 35 meters broad. The pathway itself is 2.5 meters wide and surrounds the entire park.

Step-by-Step Calculation

Step 1: Calculate the Total Area of the Pathway

Length Part: The total length of the pathway is calculated by considering the width of the path around the entire park. Width Part: Similarly, the total width of the pathway is calculated by including the sides of the park. Corners: Since the pathway surrounds the corners, the area of the four corners is added.

The calculations are as follows:

A Length 55 meters x 2.5 meters x 2 paths 275 square meters.

B Width 35 meters x 2.5 meters x 2 paths 175 square meters.

C Corners 2.5 meters x 2.5 meters x 4 corners 25 square meters.

Step 2: Total Area of the Pathway

The total area of the pathway can now be calculated:

Total Area 275 square meters 175 square meters 25 square meters 475 square meters.

Step 3: Cost Estimation

To estimate the cost of constructing the pathway with stones, the cost per square meter needs to be known. In this case, the cost of the pathway per square meter is Rs. 120.

The total cost can be calculated as follows:

Total Cost Total Area x Cost per square meter 475 square meters x Rs. 120 per square meter Rs. 57,000.

Conclusion

Based on the calculations provided, the area of the pathway is 475 square meters and the total cost of constructing the pathway with stones is Rs. 57,000. It's important to ensure that all calculations are done accurately to avoid any financial issues or discrepancies.

If you need to calculate the area and cost of a similar pathway for your park or garden, follow the steps outlined in this guide. It will help you plan the construction efficiently and within budget.