Cost Calculation for Building a Fence around a Square Plot

Understanding how to calculate the cost of building a fence around a square plot involves a few simple mathematical steps. In this article, we will walk through the process of determining the cost of building a fence around a square plot with an area of 256 square feet, given a fence price of Rs. 6 per foot.

Step 1: Determine the Side Length of the Square Plot

The area of the square plot is given as 256 square feet. To find the side length, we take the square root of the area:

Side length, a √Area

A 256

a √256 16 feet

Step 2: Calculate the Perimeter of the Square Plot

The perimeter of a square is simply four times the side length. Using the side length we found:

Perimeter, P 4 × a

P 4 × 16 64 feet

Step 3: Calculate the Cost of Building the Fence

The cost of building the fence is Rs. 6 per foot. Therefore, to find the total cost, we multiply the perimeter by the cost per foot:

Total cost Perimeter × Cost per foot

Total cost 64 feet × Rs. 6/foot Rs. 384

This calculation shows that the cost of building a fence around the square plot with an area of 256 square feet and a cost of Rs. 6 per foot is Rs. 384.

Understanding the Calculation

Let's break it down into steps:

Find the side length of the square plot using the area.

Determine the perimeter by multiplying the side length by 4.

Multiply the perimeter by the cost per foot to find the total cost.

By following these steps, we can accurately determine the cost of building a fence around any square plot, given its area and the cost per foot of the fence.

Frequently Asked Questions

Q: What is the formula to find the side length of a square plot given its area?

A: The formula is Side length √Area.

Q: How do you find the perimeter of a square plot?

A: The perimeter is simply 4 × side length.

Q: How do you calculate the cost of building a fence around a plot?

A: Multiply the perimeter of the plot by the cost per foot of the fence.

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If you have any more questions or need further clarification, feel free to connect with me on LinkedIn Aachri Tyagi.