To solve for the distance between points $L(2, 0)$ and $G(4, 9)$, we use the distance formula:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Here, the coordinates of $L$ are $(x_1, y_1) = (2, 0)$ and the coordinates of $G$ are $(x_2, y_2) = (4, 9)$.

Substituting the values into the formula:

$d = \sqrt{(4 - 2)^2 + (9 - 0)^2}$ $d = \sqrt{(2)^2 + (9)^2}$ $d = \sqrt{4 + 81}$ $d = \sqrt{85}$

Therefore, the distance between points $L$ and $G$ is:

$d \approx 9.22 \text{ meters}$

Would you like further details or clarifications?

Here are 5 related questions to expand your understanding:

1. How do you derive the distance formula from the Pythagorean Theorem?
2. Can the distance formula be used in three-dimensional space?
3. What is the geometric significance of the square root of a sum of squares?
4. How can you find the midpoint between two points?
5. What is the distance between two points if one of the coordinates is the same?

Tip: Always double-check your coordinate values before applying the distance formula to avoid errors!