Understanding the Problem
To find the length of the side of a square field when the area is known, we use the fundamental property of squares. The area of a square is calculated by squaring the length of one of its sides.
Formula for Area of a Square
The formula to calculate the area (A) of a square is:
- A = side × side
- A = side²
Given Data
- Area (A) = 8281 m²
Calculating the Side Length
To find the side length, we can rearrange the formula:
- side = √A
Now, substituting the given area:
- side = √8281 m²
Finding the Square Root
Calculating the square root of 8281:
- The square root of 8281 can be determined through prime factorization or a simple calculation.
- √8281 = 91
Conclusion
Thus, the length of each side of the square field is:
- Side length = 91 m
This simple calculation confirms that the side of the square field measures 91 meters. Understanding this process helps in solving similar problems involving the area of squares in various scenarios.