Final answer:
To find the side length of a square with an area of 19 units squared, take the square root of the area. The result is approximately 4.3589 units when rounded to four decimal places.
Step-by-step explanation:
If a square has an area of 19 units squared, what is the length of any one of its sides?
The area of a square is calculated by squaring the length of one of its sides. If we let s represent the length of a side of the square, then the area A is A = s². Knowing the area is 19, we can set up the equation:
19 = s²
To find the side length s, we take the square root of both sides of the equation. Doing so, we get:
s = √19
The square root of 19 does not result in a whole number, so we can either leave the answer in its radical form or use a calculator to approximate the decimal value.
Therefore, the length of each side of the square is approximately 4.3589 units when rounded to four decimal places.