Understanding the Problem
When tasked with designing a rectangular park with a perimeter of 80 meters and an area of 400 square meters, many may wonder if it is even possible. In this article, we will delve into the intricacies of geometric principles and explore whether such a park can indeed be created.
Exploring the Possibilities
To determine if such a park can be designed, we first need to understand the relationship between a rectangle’s perimeter and area. The perimeter of a rectangle is calculated by adding the lengths of all its sides, while the area is determined by multiplying its length and breadth.
Given the constraints of a perimeter of 80 meters and an area of 400 square meters, it is possible to find the length and breadth of the park by solving a system of equations.
Finding the Solution
Let’s denote the length of the rectangle as ‘L’ and the breadth as ‘B’. We can set up the following equations based on the given perimeter and area:
- 2L + 2B = 80 (Perimeter formula)
- L * B = 400 (Area formula)
By solving this system of equations simultaneously, we can find the length and breadth of the rectangular park that meets the specified criteria.
Conclusion
Through mathematical analysis and problem-solving techniques, it is indeed possible to design a rectangular park with a perimeter of 80 meters and an area of 400 square meters. By finding the appropriate length and breadth values, urban planners and designers can create a park that maximizes space efficiency while meeting the desired specifications.
