Understanding the Problem
To find the area of a square-shaped garden with a boundary of 48 meters, we first need to understand the relationship between the perimeter and the side length of a square.
Calculating the Side Length
- The formula for the perimeter (P) of a square is:
P = 4 × side length (s)
- Given that the perimeter is 48 m:
48 m = 4 × s
- To find the side length, we divide the perimeter by 4:
s = 48 m / 4
s = 12 m
Finding the Area
- The formula for the area (A) of a square is:
A = side length (s) × side length (s)
- Now that we know the side length is 12 m, we can calculate the area:
A = 12 m × 12 m
A = 144 m²
Conclusion
- The area of the square-shaped garden is 144 square meters.
Summary of Key Points
- Perimeter of the square = 48 m
- Side length = 12 m
- Area = 144 m²
This detailed approach shows how to calculate the area of a square garden using its perimeter, making it easy to understand for Class 5 students.