To find the side length of a square field when given its area, we need to understand the relationship between the area and the side length of a square.
The formula for the area of a square is:
[tex]\[ \text{Area} = \text{side} \times \text{side} \][/tex]
or
[tex]\[ \text{Area} = \text{side}^2 \][/tex]
Given that the area of the square field is [tex]\( 1764 \, m^2 \)[/tex], we set up the equation:
[tex]\[ \text{side}^2 = 1764 \][/tex]
To find the side length, we need to take the square root of both sides of the equation:
[tex]\[ \text{side} = \sqrt{1764} \][/tex]
By solving this, we find that:
[tex]\[ \text{side} = 42 \, m \][/tex]
Hence, the side length of the square field is [tex]\( 42 \)[/tex] meters.
