To find the side length of a square, you need to find the square root of its area. In this case, the area of the square is given as 16/36 square foot.
To calculate the side length, we can simplify the fraction 16/36 by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 16 and 36 is 4.
Dividing 16 by 4 gives us 4, and dividing 36 by 4 gives us 9. Therefore, the simplified fraction is 4/9.
Now that we have the simplified fraction, we can find the square root of 4/9 to determine the side length. The square root of a fraction is the square root of the numerator divided by the square root of the denominator.
The square root of 4 is 2, and the square root of 9 is 3. So the square root of 4/9 is 2/3.
Therefore, the side length of the square is 2/3 foot.