What are the Dimensions of a Rectangular Yard with a Perimeter of 72 Meters?

r r

Introduction: When designing a rectangular yard, the perimeter is a crucial measurement. Understanding the relationship between the perimeter and the dimensions of the yard allows for better planning and layout. In this article, we will explore how to find the dimensions of a rectangular yard with a perimeter of 72 meters using simple mathematical formulas and calculations.

r r

The Perimeter Formula for a Rectangle

r r

The formula for the perimeter (P) of a rectangle is given by:

r

P 2l 2w

r

Where:

r r P is the perimeter of the rectangle in meters,r l is the length of the rectangle in meters,r w is the width of the rectangle in meters.r r r

Determining the Dimensions

r r

Given that the perimeter of the rectangular yard is 72 meters, we can set up the equation as follows:

r

72 2l 2w

r

Dividing both sides of the equation by 2 gives us:

r

36 l w

r

This equation indicates that the sum of the length and width must equal 36 meters. The actual dimensions can vary as there are infinitely many pairs of (l) and (w) that satisfy this equation.

r r

Examples of Possible Dimensions

r r

Here are a few examples of possible dimensions that would satisfy the equation (l w 36):

r r If (l 20) meters, then (w 36 - 20 16) meters.r If (l 18) meters, then (w 36 - 18 18) meters, making it a square.r If (l 10) meters, then (w 36 - 10 26) meters.r r

Thus, any pair of dimensions (l) and (w) that satisfy (l w 36) will result in a rectangular yard with a perimeter of 72 meters.

r r

Conclusion

r r

The length of the longer sides can be any number greater than 16 meters and less than 36 meters, while the corresponding short sides can be greater than 0 meters and less than 16 meters. The possibilities are almost infinite, making it important to consider practical and aesthetic aspects when choosing the dimensions for your yard.

r r

Understanding the relationship between the perimeter and the dimensions of a rectangle is essential for design and construction projects. By using the perimeter formula and solving for the dimensions, you can ensure that your rectangular yard meets your requirements and objectives.

r