Calculating the Cost of Tiling a Square Hall Floor

When you're planning to tile a floor, one of the essential factors to consider is the cost of tiling based on the area of the floor. This guide will walk you through the process of calculating the cost of tiling a square hall with a specific perimeter and a given rate of tiling. We will cover the necessary formulas, steps involved, and provide a detailed solution to understand how to calculate the tile installation cost.

Problem Statement

The perimeter of a square-shaped hall is 20 meters. If the cost to tile the floor is 500 rupees per square meter, what is the total cost to tile the entire floor?

Solution

Step 1: Determine the Side Length of the Hall

A square has four equal sides. To find the length of one side, we can use the formula for the perimeter of a square:

Formula:

P 4s where P is the perimeter and s is the side length.

Solving for s, we get:

s P / 4

In this problem, the perimeter (P) is 20 meters.

s 20 meters / 4 5 meters

Step 2: Determine the Area of the Hall

The area of a square can be calculated using the formula:

Formula:

A s^2 where A is the area and s is the side length.

In this problem, the side length (s) is 5 meters.

A 5 meters^2 25 square meters

Step 3: Calculate the Cost to Tile the Floor

The cost to tile the floor is given as 500 rupees per square meter. To find the total cost, we multiply the area by the cost per square meter:

Formula:

Cost Area x Rate per square meter

Cost 25 square meters x 500 rupees/square meter 12,500 rupees

Conclusion

The total cost to tile the floor of a square hall with a perimeter of 20 meters, at a rate of 500 rupees per square meter, is 12,500 rupees.

Similar Problems and Applications

This problem can be applied in various scenarios, such as:

Calculating Costs for Renovation Projects: Knowing how to calculate areas and associated costs can help in estimating renovation expenses accurately. Landscaping and Gardening: Understanding the area and the materials needed for landscaping can help in budgeting for garden installations. Real Estate: In real estate, understanding the area and pricing can help in appraising the value of properties based on floor space.

Resources

To further assist you, here are some useful resources:

Math is Fun - Square Calc Workshops - Area of a Square SplashLearn - Perimeter of a Square