To find the length between landmark B (Washington Monument) and F (National Gallery of Art) on the map, we first need to determine their coordinates based on the grid provided:
- Point B (Washington Monument) is located at (5, 9).
- Point F (National Gallery of Art) is located at (14, 8).
Next, we can calculate the distance between these two points using the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Substituting the coordinates of point B (5, 9) and point F (14, 8) into the formula:
\[ d = \sqrt{(14 - 5)^2 + (8 - 9)^2} \]
Calculating the differences:
\[ d = \sqrt{(9)^2 + (-1)^2} \]
Now squaring the values:
\[ d = \sqrt{81 + 1} = \sqrt{82} \]
Next, we calculate \(\sqrt{82}\):
\[ d \approx 9.055 \]
To convert this distance to real-world units (assuming the scale provided is consistent for feet or meters), since we've determined the grid dimensions but haven't specified the units used, we'll provide the distance in the same units as the scale maximum (200 feet or 200 meters).
Since the grid size isn't specified, let's proceed to round it to the nearest hundredth:
Thus, the final rounded answer is:
\[ \text{Distance} \approx 9.06 \text{ units (in grid size)} \]
Please clarify the conversion to feet or meters if required, but the answer based on the grid units is approximately 9.06 units.